Greatest Common Factor of 2702/422, 4437/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2702/422, 4437/530

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 2702/422,4437/530

Given fractions are 2702/422,4437/530

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 2702,4437

Greatest Common Factor of Numerators i.e. GCF of 2702,4437 is 1 .

LCM of Denominators means LCM of 422,530 as per the given fractions.

LCM of 422,530 is 111830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2702,4437

GCF of Fractions 2702/422,4437/530 is 1/111830

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

Greatest Common Factor of 2702,4437 By Matching Biggest Common Factor Method

Greatest Common Factor of 2702,4437 By Matching Biggest Common Factor Method

Factors of 2702

List of positive integer factors of 2702 that divides 2702 without a remainder.

1,2,7,14,193,386,1351,2702

Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1,3,9,17,29,51,87,153,261,493,1479,4437

Greatest Common Factor

We found the factors 2702,4437 . The biggest common factor number is the GCF number.
So the greatest common factor 2702,4437 is 1.

Lets's calculate LCM of 422,530

2 422, 530
211, 265

∴ So the LCM of the given numbers is 2 x 211 x 265 = 111830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111830

Therefore, the GCF of Fractions 2702/422,4437/530 is 1/111830

Least Common Multiple of 422,530 with GCF Formula

Least Common Multiple of 422,530 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 422,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,530) = 2

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

GCF(422,530) x common factors =2 x 1 = 2

LCM(422,530) = ( 422 × 530 ) / 2

LCM(422,530) = 223660 / 2

LCM(422,530) = 111830


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 2702/422, 4437/530

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 2702/422, 4437/530?

Answer: GCF of Numerators as per given numbers 2702/422, 4437/530 is

GCF of Numerators i.e. for 2702,4437 is 1

LCM of denominators i.e. for 422,530 is 111830.

Thus, GCF of Fractions is 1/111830.Finally, GCF of Fractions for 2702/422, 4437/530 is 1/111830.