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GCF of 964/31, 501/530

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 964/31, 501/530 i.e 1/16430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/31, 501/530.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 964/31,501/530?

Given fractions are 964/31,501/530

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 964/31,501/530, numerators are 964,501

Denominators are 31,530

The GCF of 964,501 is 1 .

LCM of 31,530 is 16430.

The greatest common factor of 964/31,501/530 = [GCF of 964,501]/[LCM of 31,530]= 1/16430

Therefore, the GCF of 964/31,501/530 is 1/16430.

Greatest Common Factor of 964,501

To find the highest common factor of 964,501, we have to find the factors of both numbers and list the highest common factor.

The factors of 964 are 1, 2, 4, 241, 482, 964

The factors of 501 are 1, 3, 167, 501

The HCF of 964,501 is 1.

Lets's calculate GCF of 964,501

Greatest Common Factor (GCF) of 964,501 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 964,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,501 By Matching Biggest Common Factor Method

Now, list down the factors of 964

:

1,2,4,241,482,964

Now, list down the factors of 501

:

1,3,167,501

Greatest Common Factor

We found the factors 964,501 . The biggest common factor number is the GCF number.
So the greatest common factor 964,501 is 1.

Lets's calculate LCM of 31,530

Lowest Common Multiple of 31,530 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 16430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16430

Therefore, the GCF of Fractions 964/31,501/530 is 1/16430

Least Common Multiple of 31,530 with GCF Formula

Least Common Multiple of 31,530 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 31,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,530) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,530) x common factors =1 x 1 = 1

LCM(31,530) = ( 31 × 530 ) / 1

LCM(31,530) = 16430 / 1

LCM(31,530) = 16430


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FAQs on GCF of Fractions of 964/31, 501/530

1. What is the HCF of 964,501?

The HCF of 964,501 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 964/31, 501/530?

Answer: GCF of Numerators as per given numbers 964/31, 501/530 is

GCF of Numerators i.e. for 964,501 is 1

LCM of denominators i.e. for 31,530 is 16430.

Thus, GCF of Fractions is 1/16430.Finally, GCF of Fractions for 964/31, 501/530 is 1/16430.