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GCF of 316/10, 656/686

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 316/10, 656/686 i.e 4/3430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 316/10, 656/686.

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 316/10,656/686?

Given fractions are 316/10,656/686

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 316/10,656/686, numerators are 316,656

Denominators are 10,686

The GCF of 316,656 is 4 .

LCM of 10,686 is 3430.

The greatest common factor of 316/10,656/686 = [GCF of 316,656]/[LCM of 10,686]= 4/3430

Therefore, the GCF of 316/10,656/686 is 4/3430.

Greatest Common Factor of 316,656

To find the highest common factor of 316,656, we have to find the factors of both numbers and list the highest common factor.

The factors of 316 are 1, 2, 4, 79, 158, 316

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The HCF of 316,656 is 4.

Lets's calculate GCF of 316,656

Greatest Common Factor (GCF) of 316,656 By Common Division

2 316, 656
2 158, 328
79, 164

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 316,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,656 By Matching Biggest Common Factor Method

Now, list down the factors of 316

:

1,2,4,79,158,316

Now, list down the factors of 656

:

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 316,656 . The biggest common factor number is the GCF number.
So the greatest common factor 316,656 is 4.

Lets's calculate LCM of 10,686

Lowest Common Multiple of 10,686 using Common Division

2 10, 686
5, 343

∴ So the LCM of the given numbers is 2 x 5 x 343 = 3430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3430

Therefore, the GCF of Fractions 316/10,656/686 is 4/3430

Least Common Multiple of 10,686 with GCF Formula

Least Common Multiple of 10,686 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 10,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,686) = 2

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

GCF(10,686) x common factors =2 x 1 = 2

LCM(10,686) = ( 10 × 686 ) / 2

LCM(10,686) = 6860 / 2

LCM(10,686) = 3430


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FAQs on GCF of Fractions of 316/10, 656/686

1. What is the HCF of 316,656?

The HCF of 316,656 is 4

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 316/10, 656/686?

Answer: GCF of Numerators as per given numbers 316/10, 656/686 is

GCF of Numerators i.e. for 316,656 is 4

LCM of denominators i.e. for 10,686 is 3430.

Thus, GCF of Fractions is 4/3430.Finally, GCF of Fractions for 316/10, 656/686 is 4/3430.