Greatest Common Factor of 714/52, 896/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/52, 896/385

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 714/52,896/385

Given fractions are 714/52,896/385

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 714,896

Greatest Common Factor of Numerators i.e. GCF of 714,896 is 14 .

LCM of Denominators means LCM of 52,385 as per the given fractions.

LCM of 52,385 is 20020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,896

GCF of Fractions 714/52,896/385 is 14/20020

2 714, 896
7 357, 448
51, 64

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 714,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,896 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 714,896 . The biggest common factor number is the GCF number.
So the greatest common factor 714,896 is 14.

Lets's calculate LCM of 52,385

Given numbers has no common factors except 1. So, there LCM is their product i.e 20020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/20020

Therefore, the GCF of Fractions 714/52,896/385 is 14/20020

Least Common Multiple of 52,385 with GCF Formula

Least Common Multiple of 52,385 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 52,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,385) = 1

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

GCF(52,385) x common factors =1 x 1 = 1

LCM(52,385) = ( 52 × 385 ) / 1

LCM(52,385) = 20020 / 1

LCM(52,385) = 20020


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 714/52, 896/385

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 714/52, 896/385?

Answer: GCF of Numerators as per given numbers 714/52, 896/385 is

GCF of Numerators i.e. for 714,896 is 14

LCM of denominators i.e. for 52,385 is 20020.

Thus, GCF of Fractions is 14/20020.Finally, GCF of Fractions for 714/52, 896/385 is 14/20020.