Greatest Common Factor of 8/39, 62/96, 78/905, 632/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/39, 62/96, 78/905, 632/814

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 8/39,62/96,78/905,632/814

Given fractions are 8/39,62/96,78/905,632/814

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 8,62,78,632

Greatest Common Factor of Numerators i.e. GCF of 8,62,78,632 is 2 .

LCM of Denominators means LCM of 39,96,905,814 as per the given fractions.

LCM of 39,96,905,814 is 459682080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,62,78,632

GCF of Fractions 8/39,62/96,78/905,632/814 is 2/459682080

2 8, 62, 78, 632
4, 31, 39, 316

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

Greatest Common Factor of 8,62,78,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,62,78,632 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 8,62,78,632 . The biggest common factor number is the GCF number.
So the greatest common factor 8,62,78,632 is 2.

Lets's calculate LCM of 39,96,905,814

2 39, 96, 905, 814
3 39, 48, 905, 407
13, 16, 905, 407

∴ So the LCM of the given numbers is 2 x 3 x 13 x 16 x 905 x 407 = 459682080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/459682080

Therefore, the GCF of Fractions 8/39,62/96,78/905,632/814 is 2/459682080

Least Common Multiple of 39,96,905,814 with GCF Formula

Least Common Multiple of 39,96,905,814 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 39,96,905,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,96,905,814) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(39,96,905,814) x common factors =1 x 6 = 6

LCM(39,96,905,814) = ( 39 × 96 × 905 × 814 ) / 6

LCM(39,96,905,814) = 2758092480 / 6

LCM(39,96,905,814) = 459682080


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 8/39, 62/96, 78/905, 632/814

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 8/39, 62/96, 78/905, 632/814?

Answer: GCF of Numerators as per given numbers 8/39, 62/96, 78/905, 632/814 is

GCF of Numerators i.e. for 8,62,78,632 is 2

LCM of denominators i.e. for 39,96,905,814 is 459682080.

Thus, GCF of Fractions is 2/459682080.Finally, GCF of Fractions for 8/39, 62/96, 78/905, 632/814 is 2/459682080.