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GCF of 13/710, 312/355

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 13/710, 312/355 i.e 13/710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/710, 312/355.

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 13/710,312/355?

Given fractions are 13/710,312/355

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 13/710,312/355, numerators are 13,312

Denominators are 710,355

The GCF of 13,312 is 13 .

LCM of 710,355 is 710.

The greatest common factor of 13/710,312/355 = [GCF of 13,312]/[LCM of 710,355]= 13/710

Therefore, the GCF of 13/710,312/355 is 13/710.

Greatest Common Factor of 13,312

To find the highest common factor of 13,312, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

The HCF of 13,312 is 13.

Lets's calculate GCF of 13,312

Greatest Common Factor (GCF) of 13,312 By Common Division

13 13, 312
1, 24

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 13,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,312 By Matching Biggest Common Factor Method

Now, list down the factors of 13

:

1,13

Now, list down the factors of 312

:

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 13,312 . The biggest common factor number is the GCF number.
So the greatest common factor 13,312 is 13.

Lets's calculate LCM of 710,355

Lowest Common Multiple of 710,355 using Common Division

5 710, 355
71 142, 71
2, 1

∴ So the LCM of the given numbers is 5 x 71 x 2 x 1 = 710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/710

Therefore, the GCF of Fractions 13/710,312/355 is 13/710

Least Common Multiple of 710,355 with GCF Formula

Least Common Multiple of 710,355 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 710,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,355) = 355

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

GCF(710,355) x common factors =355 x 1 = 355

LCM(710,355) = ( 710 × 355 ) / 355

LCM(710,355) = 252050 / 355

LCM(710,355) = 710


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FAQs on GCF of Fractions of 13/710, 312/355

1. What is the HCF of 13,312?

The HCF of 13,312 is 13

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 13/710, 312/355?

Answer: GCF of Numerators as per given numbers 13/710, 312/355 is

GCF of Numerators i.e. for 13,312 is 13

LCM of denominators i.e. for 710,355 is 710.

Thus, GCF of Fractions is 13/710.Finally, GCF of Fractions for 13/710, 312/355 is 13/710.