Advertisements
Advertisements
प्रश्न
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is ______.
पर्याय
13
65
875
1750
Advertisements
उत्तर
The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is 13.
Explanation:
We have to find the largest number which divides 70 and 125
Leaving remainders 5 and 8
This can be also written as,
To find the largest number which exactly divides (70 – 5) and (125 – 8)
The largest number that divides 65 and 117 is also the Highest Common Factor of 65 and 117
Therefore, the required number is the HCF of 65 and 117
Factors of 65 = 1, 5, 13, 65
Factors of 117 = 1, 3, 9, 13, 39, 117
Common Factors = 1, 13
Highest Common factor (HCF) = 13
i.e., The largest number which divides 70 and 125
Leaving remainders 5 and 8, respectively = 13
APPEARS IN
संबंधित प्रश्न
Consider the number 12n where n is a natural number. Check whether there is any value of n ∈ N for which 12n ends with the digital zero.
A merchant has 120 liters of oil of one kind, 180 liters of another kind and 240 liters of third kind. He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What should be the greatest capacity of such a tin?
Determine the prime factorisation of each of the following positive integer:
58500
Write down the decimal expansions of the following rational numbers by writing their denominators in the form 2m × 5n, where, m, n are non-negative integers.\[\frac{13}{125}\]
Find the LCM and HCF of the following pair of integers and verify that LCM × HCF = product of the two numbers.
510 and 92
Find the LCM and HCF of the following integers by applying the prime factorisation method.
17, 23 and 29
If 13824 = 2a × 3b then find a and b
If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4
Find the L.C.M. and H.C.F. of 408 and 170 by applying the fundamental theorem of Arithmetic
LCM of the given number ‘x’ and ‘y’ where y is a multiple of ‘x’ is given by ______.
For some integer p, every odd integer is of the form ______.
The number in the form of 4p + 3, where p is a whole number, will always be ______.
When a number is divided by 7, its remainder is always ______.
The ratio of LCM and HCF of the least composite and the least prime numbers is ______.
Explain why 3 × 5 × 7 + 7 is a composite number.
Find the HCF and LCM of 72 and 120.
Find the HCF and LCM of 26, 65 and 117, using prime factorisation.
The prime factorisation of the number 2304 is ______.
