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GCF of 913/716, 314/376

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 913/716, 314/376 i.e 1/67304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 913/716, 314/376.

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 913/716,314/376?

Given fractions are 913/716,314/376

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 913/716,314/376, numerators are 913,314

Denominators are 716,376

The GCF of 913,314 is 1 .

LCM of 716,376 is 67304.

The greatest common factor of 913/716,314/376 = [GCF of 913,314]/[LCM of 716,376]= 1/67304

Therefore, the GCF of 913/716,314/376 is 1/67304.

Greatest Common Factor of 913,314

To find the highest common factor of 913,314, we have to find the factors of both numbers and list the highest common factor.

The factors of 913 are 1, 11, 83, 913

The factors of 314 are 1, 2, 157, 314

The HCF of 913,314 is 1.

Lets's calculate GCF of 913,314

Greatest Common Factor (GCF) of 913,314 By Common Division

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

Greatest Common Factor of 913,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,314 By Matching Biggest Common Factor Method

Now, list down the factors of 913

:

1,11,83,913

Now, list down the factors of 314

:

1,2,157,314

Greatest Common Factor

We found the factors 913,314 . The biggest common factor number is the GCF number.
So the greatest common factor 913,314 is 1.

Lets's calculate LCM of 716,376

Lowest Common Multiple of 716,376 using Common Division

2 716, 376
2 358, 188
179, 94

∴ So the LCM of the given numbers is 2 x 2 x 179 x 94 = 67304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67304

Therefore, the GCF of Fractions 913/716,314/376 is 1/67304

Least Common Multiple of 716,376 with GCF Formula

Least Common Multiple of 716,376 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 716,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,376) = 4

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

GCF(716,376) x common factors =4 x 1 = 4

LCM(716,376) = ( 716 × 376 ) / 4

LCM(716,376) = 269216 / 4

LCM(716,376) = 67304


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FAQs on GCF of Fractions of 913/716, 314/376

1. What is the HCF of 913,314?

The HCF of 913,314 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 913/716, 314/376?

Answer: GCF of Numerators as per given numbers 913/716, 314/376 is

GCF of Numerators i.e. for 913,314 is 1

LCM of denominators i.e. for 716,376 is 67304.

Thus, GCF of Fractions is 1/67304.Finally, GCF of Fractions for 913/716, 314/376 is 1/67304.