Greatest Common Factor of 77/532, 649/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/532, 649/112

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 77/532,649/112

Given fractions are 77/532,649/112

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 77,649

Greatest Common Factor of Numerators i.e. GCF of 77,649 is 11 .

LCM of Denominators means LCM of 532,112 as per the given fractions.

LCM of 532,112 is 2128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,649

GCF of Fractions 77/532,649/112 is 11/2128

11 77, 649
7, 59

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 77,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,649 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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 77,649 . The biggest common factor number is the GCF number.
So the greatest common factor 77,649 is 11.

Lets's calculate LCM of 532,112

2 532, 112
2 266, 56
7 133, 28
19, 4

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 4 = 2128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2128

Therefore, the GCF of Fractions 77/532,649/112 is 11/2128

Least Common Multiple of 532,112 with GCF Formula

Least Common Multiple of 532,112 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 532,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,112) = 28

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

GCF(532,112) x common factors =28 x 1 = 28

LCM(532,112) = ( 532 × 112 ) / 28

LCM(532,112) = 59584 / 28

LCM(532,112) = 2128


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 77/532, 649/112

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 77/532, 649/112?

Answer: GCF of Numerators as per given numbers 77/532, 649/112 is

GCF of Numerators i.e. for 77,649 is 11

LCM of denominators i.e. for 532,112 is 2128.

Thus, GCF of Fractions is 11/2128.Finally, GCF of Fractions for 77/532, 649/112 is 11/2128.