Greatest Common Factor of 9274/840, 5261/6950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9274/840, 5261/6950

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 9274/840,5261/6950

Given fractions are 9274/840,5261/6950

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 9274,5261

Greatest Common Factor of Numerators i.e. GCF of 9274,5261 is 1 .

LCM of Denominators means LCM of 840,6950 as per the given fractions.

LCM of 840,6950 is 583800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9274,5261

GCF of Fractions 9274/840,5261/6950 is 1/583800

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

Greatest Common Factor of 9274,5261 By Matching Biggest Common Factor Method

Greatest Common Factor of 9274,5261 By Matching Biggest Common Factor Method

Factors of 9274

List of positive integer factors of 9274 that divides 9274 without a remainder.

1,2,4637,9274

Factors of 5261

List of positive integer factors of 5261 that divides 5261 without a remainder.

1,5261

Greatest Common Factor

We found the factors 9274,5261 . The biggest common factor number is the GCF number.
So the greatest common factor 9274,5261 is 1.

Lets's calculate LCM of 840,6950

2 840, 6950
5 420, 3475
84, 695

∴ So the LCM of the given numbers is 2 x 5 x 84 x 695 = 583800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583800

Therefore, the GCF of Fractions 9274/840,5261/6950 is 1/583800

Least Common Multiple of 840,6950 with GCF Formula

Least Common Multiple of 840,6950 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 840,6950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,6950) = 10

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

GCF(840,6950) x common factors =10 x 1 = 10

LCM(840,6950) = ( 840 × 6950 ) / 10

LCM(840,6950) = 5838000 / 10

LCM(840,6950) = 583800


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 9274/840, 5261/6950

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 9274/840, 5261/6950?

Answer: GCF of Numerators as per given numbers 9274/840, 5261/6950 is

GCF of Numerators i.e. for 9274,5261 is 1

LCM of denominators i.e. for 840,6950 is 583800.

Thus, GCF of Fractions is 1/583800.Finally, GCF of Fractions for 9274/840, 5261/6950 is 1/583800.