Greatest Common Factor of 896/755, 9688/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/755, 9688/127

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 896/755,9688/127

Given fractions are 896/755,9688/127

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 896,9688

Greatest Common Factor of Numerators i.e. GCF of 896,9688 is 56 .

LCM of Denominators means LCM of 755,127 as per the given fractions.

LCM of 755,127 is 95885 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,9688

GCF of Fractions 896/755,9688/127 is 56/95885

2 896, 9688
2 448, 4844
2 224, 2422
7 112, 1211
16, 173

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 896,9688 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,9688 By Matching Biggest Common Factor Method

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

Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Greatest Common Factor

We found the factors 896,9688 . The biggest common factor number is the GCF number.
So the greatest common factor 896,9688 is 56.

Lets's calculate LCM of 755,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 95885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/95885

Therefore, the GCF of Fractions 896/755,9688/127 is 56/95885

Least Common Multiple of 755,127 with GCF Formula

Least Common Multiple of 755,127 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 755,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,127) = 1

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

GCF(755,127) x common factors =1 x 1 = 1

LCM(755,127) = ( 755 × 127 ) / 1

LCM(755,127) = 95885 / 1

LCM(755,127) = 95885


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 896/755, 9688/127

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 896/755, 9688/127?

Answer: GCF of Numerators as per given numbers 896/755, 9688/127 is

GCF of Numerators i.e. for 896,9688 is 56

LCM of denominators i.e. for 755,127 is 95885.

Thus, GCF of Fractions is 56/95885.Finally, GCF of Fractions for 896/755, 9688/127 is 56/95885.