Greatest Common Factor of 649/87, 767/32, 118/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/87, 767/32, 118/784

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 649/87,767/32,118/784

Given fractions are 649/87,767/32,118/784

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 649,767,118

Greatest Common Factor of Numerators i.e. GCF of 649,767,118 is 59 .

LCM of Denominators means LCM of 87,32,784 as per the given fractions.

LCM of 87,32,784 is 136416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,767,118

GCF of Fractions 649/87,767/32,118/784 is 59/136416

59 649, 767, 118
11, 13, 2

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 649,767,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,767,118 By Matching Biggest Common Factor Method

Factors of 649

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

1,11,59,649

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 649,767,118 . The biggest common factor number is the GCF number.
So the greatest common factor 649,767,118 is 59.

Lets's calculate LCM of 87,32,784

2 87, 32, 784
2 87, 16, 392
2 87, 8, 196
2 87, 4, 98
87, 2, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 87 x 2 x 49 = 136416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/136416

Therefore, the GCF of Fractions 649/87,767/32,118/784 is 59/136416

Least Common Multiple of 87,32,784 with GCF Formula

Least Common Multiple of 87,32,784 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 87,32,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,32,784) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(87,32,784) x common factors =1 x 16 = 16

LCM(87,32,784) = ( 87 × 32 × 784 ) / 16

LCM(87,32,784) = 2182656 / 16

LCM(87,32,784) = 136416


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 649/87, 767/32, 118/784

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 649/87, 767/32, 118/784?

Answer: GCF of Numerators as per given numbers 649/87, 767/32, 118/784 is

GCF of Numerators i.e. for 649,767,118 is 59

LCM of denominators i.e. for 87,32,784 is 136416.

Thus, GCF of Fractions is 59/136416.Finally, GCF of Fractions for 649/87, 767/32, 118/784 is 59/136416.