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GCF of 762/14, 491/917

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 762/14, 491/917 i.e 1/1834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/14, 491/917.

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 762/14,491/917?

Given fractions are 762/14,491/917

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 762/14,491/917, numerators are 762,491

Denominators are 14,917

The GCF of 762,491 is 1 .

LCM of 14,917 is 1834.

The greatest common factor of 762/14,491/917 = [GCF of 762,491]/[LCM of 14,917]= 1/1834

Therefore, the GCF of 762/14,491/917 is 1/1834.

Greatest Common Factor of 762,491

To find the highest common factor of 762,491, we have to find the factors of both numbers and list the highest common factor.

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The factors of 491 are 1, 491

The HCF of 762,491 is 1.

Lets's calculate GCF of 762,491

Greatest Common Factor (GCF) of 762,491 By Common Division

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

Greatest Common Factor of 762,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,491 By Matching Biggest Common Factor Method

Now, list down the factors of 762

:

1,2,3,6,127,254,381,762

Now, list down the factors of 491

:

1,491

Greatest Common Factor

We found the factors 762,491 . The biggest common factor number is the GCF number.
So the greatest common factor 762,491 is 1.

Lets's calculate LCM of 14,917

Lowest Common Multiple of 14,917 using Common Division

7 14, 917
2, 131

∴ So the LCM of the given numbers is 7 x 2 x 131 = 1834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1834

Therefore, the GCF of Fractions 762/14,491/917 is 1/1834

Least Common Multiple of 14,917 with GCF Formula

Least Common Multiple of 14,917 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 14,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,917) = 7

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

GCF(14,917) x common factors =7 x 1 = 7

LCM(14,917) = ( 14 × 917 ) / 7

LCM(14,917) = 12838 / 7

LCM(14,917) = 1834


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FAQs on GCF of Fractions of 762/14, 491/917

1. What is the HCF of 762,491?

The HCF of 762,491 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 762/14, 491/917?

Answer: GCF of Numerators as per given numbers 762/14, 491/917 is

GCF of Numerators i.e. for 762,491 is 1

LCM of denominators i.e. for 14,917 is 1834.

Thus, GCF of Fractions is 1/1834.Finally, GCF of Fractions for 762/14, 491/917 is 1/1834.