Greatest Common Factor of 77/88, 28/13, 952/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/88, 28/13, 952/735

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 77/88,28/13,952/735

Given fractions are 77/88,28/13,952/735

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 77,28,952

Greatest Common Factor of Numerators i.e. GCF of 77,28,952 is 7 .

LCM of Denominators means LCM of 88,13,735 as per the given fractions.

LCM of 88,13,735 is 840840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,28,952

GCF of Fractions 77/88,28/13,952/735 is 7/840840

7 77, 28, 952
11, 4, 136

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

Greatest Common Factor of 77,28,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,28,952 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 77,28,952 . The biggest common factor number is the GCF number.
So the greatest common factor 77,28,952 is 7.

Lets's calculate LCM of 88,13,735

Given numbers has no common factors except 1. So, there LCM is their product i.e 840840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/840840

Therefore, the GCF of Fractions 77/88,28/13,952/735 is 7/840840

Least Common Multiple of 88,13,735 with GCF Formula

Least Common Multiple of 88,13,735 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 88,13,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,13,735) = 1

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

GCF(88,13,735) x common factors =1 x 1 = 1

LCM(88,13,735) = ( 88 × 13 × 735 ) / 1

LCM(88,13,735) = 840840 / 1

LCM(88,13,735) = 840840


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 77/88, 28/13, 952/735

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 77/88, 28/13, 952/735?

Answer: GCF of Numerators as per given numbers 77/88, 28/13, 952/735 is

GCF of Numerators i.e. for 77,28,952 is 7

LCM of denominators i.e. for 88,13,735 is 840840.

Thus, GCF of Fractions is 7/840840.Finally, GCF of Fractions for 77/88, 28/13, 952/735 is 7/840840.