Greatest Common Factor of 856/14, 752/44, 128/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/14, 752/44, 128/270

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 856/14,752/44,128/270

Given fractions are 856/14,752/44,128/270

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 856,752,128

Greatest Common Factor of Numerators i.e. GCF of 856,752,128 is 8 .

LCM of Denominators means LCM of 14,44,270 as per the given fractions.

LCM of 14,44,270 is 41580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,752,128

GCF of Fractions 856/14,752/44,128/270 is 8/41580

2 856, 752, 128
2 428, 376, 64
2 214, 188, 32
107, 94, 16

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

Greatest Common Factor of 856,752,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,752,128 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 856,752,128 . The biggest common factor number is the GCF number.
So the greatest common factor 856,752,128 is 8.

Lets's calculate LCM of 14,44,270

2 14, 44, 270
7, 22, 135

∴ So the LCM of the given numbers is 2 x 7 x 22 x 135 = 41580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/41580

Therefore, the GCF of Fractions 856/14,752/44,128/270 is 8/41580

Least Common Multiple of 14,44,270 with GCF Formula

Least Common Multiple of 14,44,270 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 14,44,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,44,270) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,44,270) x common factors =2 x 2 = 4

LCM(14,44,270) = ( 14 × 44 × 270 ) / 4

LCM(14,44,270) = 166320 / 4

LCM(14,44,270) = 41580


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 856/14, 752/44, 128/270

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 856/14, 752/44, 128/270?

Answer: GCF of Numerators as per given numbers 856/14, 752/44, 128/270 is

GCF of Numerators i.e. for 856,752,128 is 8

LCM of denominators i.e. for 14,44,270 is 41580.

Thus, GCF of Fractions is 8/41580.Finally, GCF of Fractions for 856/14, 752/44, 128/270 is 8/41580.