Greatest Common Factor of 8184/752, 1271/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8184/752, 1271/128

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 8184/752,1271/128

Given fractions are 8184/752,1271/128

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 8184,1271

Greatest Common Factor of Numerators i.e. GCF of 8184,1271 is 31 .

LCM of Denominators means LCM of 752,128 as per the given fractions.

LCM of 752,128 is 6016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8184,1271

GCF of Fractions 8184/752,1271/128 is 31/6016

31 8184, 1271
264, 41

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 8184,1271 By Matching Biggest Common Factor Method

Greatest Common Factor of 8184,1271 By Matching Biggest Common Factor Method

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Factors of 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1,31,41,1271

Greatest Common Factor

We found the factors 8184,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 8184,1271 is 31.

Lets's calculate LCM of 752,128

2 752, 128
2 376, 64
2 188, 32
2 94, 16
47, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 8 = 6016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/6016

Therefore, the GCF of Fractions 8184/752,1271/128 is 31/6016

Least Common Multiple of 752,128 with GCF Formula

Least Common Multiple of 752,128 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 752,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,128) = 16

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

GCF(752,128) x common factors =16 x 1 = 16

LCM(752,128) = ( 752 × 128 ) / 16

LCM(752,128) = 96256 / 16

LCM(752,128) = 6016


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 8184/752, 1271/128

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 8184/752, 1271/128?

Answer: GCF of Numerators as per given numbers 8184/752, 1271/128 is

GCF of Numerators i.e. for 8184,1271 is 31

LCM of denominators i.e. for 752,128 is 6016.

Thus, GCF of Fractions is 31/6016.Finally, GCF of Fractions for 8184/752, 1271/128 is 31/6016.