Greatest Common Factor of 6022/974, 4769/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6022/974, 4769/280

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 6022/974,4769/280

Given fractions are 6022/974,4769/280

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 6022,4769

Greatest Common Factor of Numerators i.e. GCF of 6022,4769 is 1 .

LCM of Denominators means LCM of 974,280 as per the given fractions.

LCM of 974,280 is 136360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6022,4769

GCF of Fractions 6022/974,4769/280 is 1/136360

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

Greatest Common Factor of 6022,4769 By Matching Biggest Common Factor Method

Greatest Common Factor of 6022,4769 By Matching Biggest Common Factor Method

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1,2,3011,6022

Factors of 4769

List of positive integer factors of 4769 that divides 4769 without a remainder.

1,19,251,4769

Greatest Common Factor

We found the factors 6022,4769 . The biggest common factor number is the GCF number.
So the greatest common factor 6022,4769 is 1.

Lets's calculate LCM of 974,280

2 974, 280
487, 140

∴ So the LCM of the given numbers is 2 x 487 x 140 = 136360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136360

Therefore, the GCF of Fractions 6022/974,4769/280 is 1/136360

Least Common Multiple of 974,280 with GCF Formula

Least Common Multiple of 974,280 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 974,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,280) = 2

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

GCF(974,280) x common factors =2 x 1 = 2

LCM(974,280) = ( 974 × 280 ) / 2

LCM(974,280) = 272720 / 2

LCM(974,280) = 136360


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 6022/974, 4769/280

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 6022/974, 4769/280?

Answer: GCF of Numerators as per given numbers 6022/974, 4769/280 is

GCF of Numerators i.e. for 6022,4769 is 1

LCM of denominators i.e. for 974,280 is 136360.

Thus, GCF of Fractions is 1/136360.Finally, GCF of Fractions for 6022/974, 4769/280 is 1/136360.