Greatest Common Factor of 24/30, 91/84, 826/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 24/30, 91/84, 826/120

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 24/30,91/84,826/120

Given fractions are 24/30,91/84,826/120

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 24,91,826

Greatest Common Factor of Numerators i.e. GCF of 24,91,826 is 1 .

LCM of Denominators means LCM of 30,84,120 as per the given fractions.

LCM of 30,84,120 is 840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 24,91,826

GCF of Fractions 24/30,91/84,826/120 is 1/840

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,91,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,91,826 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 24,91,826 . The biggest common factor number is the GCF number.
So the greatest common factor 24,91,826 is 1.

Lets's calculate LCM of 30,84,120

2 30, 84, 120
2 15, 42, 60
3 15, 21, 30
5 5, 7, 10
1, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 7 x 2 = 840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/840

Therefore, the GCF of Fractions 24/30,91/84,826/120 is 1/840

Least Common Multiple of 30,84,120 with GCF Formula

Least Common Multiple of 30,84,120 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 30,84,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,84,120) = 6

common factors(in case of two or more numbers have common factors) = 60

GCF(30,84,120) x common factors =6 x 60 = 360

LCM(30,84,120) = ( 30 × 84 × 120 ) / 360

LCM(30,84,120) = 302400 / 360

LCM(30,84,120) = 840


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 24/30, 91/84, 826/120

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 24/30, 91/84, 826/120?

Answer: GCF of Numerators as per given numbers 24/30, 91/84, 826/120 is

GCF of Numerators i.e. for 24,91,826 is 1

LCM of denominators i.e. for 30,84,120 is 840.

Thus, GCF of Fractions is 1/840.Finally, GCF of Fractions for 24/30, 91/84, 826/120 is 1/840.