Greatest Common Factor of 974/268, 2182/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 974/268, 2182/105

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 974/268,2182/105

Given fractions are 974/268,2182/105

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 974,2182

Greatest Common Factor of Numerators i.e. GCF of 974,2182 is 2 .

LCM of Denominators means LCM of 268,105 as per the given fractions.

LCM of 268,105 is 28140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 974,2182

GCF of Fractions 974/268,2182/105 is 2/28140

2 974, 2182
487, 1091

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

Greatest Common Factor of 974,2182 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,2182 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 2182

List of positive integer factors of 2182 that divides 2182 without a remainder.

1,2,1091,2182

Greatest Common Factor

We found the factors 974,2182 . The biggest common factor number is the GCF number.
So the greatest common factor 974,2182 is 2.

Lets's calculate LCM of 268,105

Given numbers has no common factors except 1. So, there LCM is their product i.e 28140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28140

Therefore, the GCF of Fractions 974/268,2182/105 is 2/28140

Least Common Multiple of 268,105 with GCF Formula

Least Common Multiple of 268,105 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 268,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,105) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(268,105) x common factors =1 x 1 = 1

LCM(268,105) = ( 268 × 105 ) / 1

LCM(268,105) = 28140 / 1

LCM(268,105) = 28140


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 974/268, 2182/105

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 974/268, 2182/105?

Answer: GCF of Numerators as per given numbers 974/268, 2182/105 is

GCF of Numerators i.e. for 974,2182 is 2

LCM of denominators i.e. for 268,105 is 28140.

Thus, GCF of Fractions is 2/28140.Finally, GCF of Fractions for 974/268, 2182/105 is 2/28140.