Greatest Common Factor of 632/675, 5696/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/675, 5696/914

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 632/675,5696/914

Given fractions are 632/675,5696/914

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 632,5696

Greatest Common Factor of Numerators i.e. GCF of 632,5696 is 8 .

LCM of Denominators means LCM of 675,914 as per the given fractions.

LCM of 675,914 is 616950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,5696

GCF of Fractions 632/675,5696/914 is 8/616950

2 632, 5696
2 316, 2848
2 158, 1424
79, 712

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 632,5696 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,5696 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1,2,4,8,16,32,64,89,178,356,712,1424,2848,5696

Greatest Common Factor

We found the factors 632,5696 . The biggest common factor number is the GCF number.
So the greatest common factor 632,5696 is 8.

Lets's calculate LCM of 675,914

Given numbers has no common factors except 1. So, there LCM is their product i.e 616950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/616950

Therefore, the GCF of Fractions 632/675,5696/914 is 8/616950

Least Common Multiple of 675,914 with GCF Formula

Least Common Multiple of 675,914 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 675,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,914) = 1

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

GCF(675,914) x common factors =1 x 1 = 1

LCM(675,914) = ( 675 × 914 ) / 1

LCM(675,914) = 616950 / 1

LCM(675,914) = 616950


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 632/675, 5696/914

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 632/675, 5696/914?

Answer: GCF of Numerators as per given numbers 632/675, 5696/914 is

GCF of Numerators i.e. for 632,5696 is 8

LCM of denominators i.e. for 675,914 is 616950.

Thus, GCF of Fractions is 8/616950.Finally, GCF of Fractions for 632/675, 5696/914 is 8/616950.