Greatest Common Factor of 916/93, 780/20, 430/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/93, 780/20, 430/68

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 916/93,780/20,430/68

Given fractions are 916/93,780/20,430/68

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 916,780,430

Greatest Common Factor of Numerators i.e. GCF of 916,780,430 is 2 .

LCM of Denominators means LCM of 93,20,68 as per the given fractions.

LCM of 93,20,68 is 31620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,780,430

GCF of Fractions 916/93,780/20,430/68 is 2/31620

2 916, 780, 430
458, 390, 215

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

Greatest Common Factor of 916,780,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,780,430 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 916,780,430 . The biggest common factor number is the GCF number.
So the greatest common factor 916,780,430 is 2.

Lets's calculate LCM of 93,20,68

2 93, 20, 68
2 93, 10, 34
93, 5, 17

∴ So the LCM of the given numbers is 2 x 2 x 93 x 5 x 17 = 31620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31620

Therefore, the GCF of Fractions 916/93,780/20,430/68 is 2/31620

Least Common Multiple of 93,20,68 with GCF Formula

Least Common Multiple of 93,20,68 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 93,20,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,20,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(93,20,68) x common factors =1 x 4 = 4

LCM(93,20,68) = ( 93 × 20 × 68 ) / 4

LCM(93,20,68) = 126480 / 4

LCM(93,20,68) = 31620


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 916/93, 780/20, 430/68

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 916/93, 780/20, 430/68?

Answer: GCF of Numerators as per given numbers 916/93, 780/20, 430/68 is

GCF of Numerators i.e. for 916,780,430 is 2

LCM of denominators i.e. for 93,20,68 is 31620.

Thus, GCF of Fractions is 2/31620.Finally, GCF of Fractions for 916/93, 780/20, 430/68 is 2/31620.