Greatest Common Factor of 90/92, 78/58, 280/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/92, 78/58, 280/861

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 90/92,78/58,280/861

Given fractions are 90/92,78/58,280/861

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 90,78,280

Greatest Common Factor of Numerators i.e. GCF of 90,78,280 is 2 .

LCM of Denominators means LCM of 92,58,861 as per the given fractions.

LCM of 92,58,861 is 2297148 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,78,280

GCF of Fractions 90/92,78/58,280/861 is 2/2297148

2 90, 78, 280
45, 39, 140

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

Greatest Common Factor of 90,78,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,78,280 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 90,78,280 . The biggest common factor number is the GCF number.
So the greatest common factor 90,78,280 is 2.

Lets's calculate LCM of 92,58,861

2 92, 58, 861
46, 29, 861

∴ So the LCM of the given numbers is 2 x 46 x 29 x 861 = 2297148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2297148

Therefore, the GCF of Fractions 90/92,78/58,280/861 is 2/2297148

Least Common Multiple of 92,58,861 with GCF Formula

Least Common Multiple of 92,58,861 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 92,58,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,58,861) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(92,58,861) x common factors =1 x 2 = 2

LCM(92,58,861) = ( 92 × 58 × 861 ) / 2

LCM(92,58,861) = 4594296 / 2

LCM(92,58,861) = 2297148


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 90/92, 78/58, 280/861

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 90/92, 78/58, 280/861?

Answer: GCF of Numerators as per given numbers 90/92, 78/58, 280/861 is

GCF of Numerators i.e. for 90,78,280 is 2

LCM of denominators i.e. for 92,58,861 is 2297148.

Thus, GCF of Fractions is 2/2297148.Finally, GCF of Fractions for 90/92, 78/58, 280/861 is 2/2297148.