Greatest Common Factor of 14/376, 3535/1312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/376, 3535/1312

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 14/376,3535/1312

Given fractions are 14/376,3535/1312

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 14,3535

Greatest Common Factor of Numerators i.e. GCF of 14,3535 is 7 .

LCM of Denominators means LCM of 376,1312 as per the given fractions.

LCM of 376,1312 is 61664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,3535

GCF of Fractions 14/376,3535/1312 is 7/61664

7 14, 3535
2, 505

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 14,3535 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,3535 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1,5,7,35,101,505,707,3535

Greatest Common Factor

We found the factors 14,3535 . The biggest common factor number is the GCF number.
So the greatest common factor 14,3535 is 7.

Lets's calculate LCM of 376,1312

2 376, 1312
2 188, 656
2 94, 328
47, 164

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 164 = 61664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/61664

Therefore, the GCF of Fractions 14/376,3535/1312 is 7/61664

Least Common Multiple of 376,1312 with GCF Formula

Least Common Multiple of 376,1312 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 376,1312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,1312) = 8

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

GCF(376,1312) x common factors =8 x 1 = 8

LCM(376,1312) = ( 376 × 1312 ) / 8

LCM(376,1312) = 493312 / 8

LCM(376,1312) = 61664


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 14/376, 3535/1312

1. 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.

2. What is the GCF of Fractions for 14/376, 3535/1312?

Answer: GCF of Numerators as per given numbers 14/376, 3535/1312 is

GCF of Numerators i.e. for 14,3535 is 7

LCM of denominators i.e. for 376,1312 is 61664.

Thus, GCF of Fractions is 7/61664.Finally, GCF of Fractions for 14/376, 3535/1312 is 7/61664.