Greatest Common Factor of 1022/173, 7472/3321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1022/173, 7472/3321

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 1022/173,7472/3321

Given fractions are 1022/173,7472/3321

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 1022,7472

Greatest Common Factor of Numerators i.e. GCF of 1022,7472 is 2 .

LCM of Denominators means LCM of 173,3321 as per the given fractions.

LCM of 173,3321 is 574533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1022,7472

GCF of Fractions 1022/173,7472/3321 is 2/574533

2 1022, 7472
511, 3736

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

Greatest Common Factor of 1022,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 1022,7472 By Matching Biggest Common Factor Method

Factors of 1022

List of positive integer factors of 1022 that divides 1022 without a remainder.

1,2,7,14,73,146,511,1022

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 1022,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 1022,7472 is 2.

Lets's calculate LCM of 173,3321

Given numbers has no common factors except 1. So, there LCM is their product i.e 574533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/574533

Therefore, the GCF of Fractions 1022/173,7472/3321 is 2/574533

Least Common Multiple of 173,3321 with GCF Formula

Least Common Multiple of 173,3321 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 173,3321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,3321) = 1

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

GCF(173,3321) x common factors =1 x 1 = 1

LCM(173,3321) = ( 173 × 3321 ) / 1

LCM(173,3321) = 574533 / 1

LCM(173,3321) = 574533


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 1022/173, 7472/3321

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 1022/173, 7472/3321?

Answer: GCF of Numerators as per given numbers 1022/173, 7472/3321 is

GCF of Numerators i.e. for 1022,7472 is 2

LCM of denominators i.e. for 173,3321 is 574533.

Thus, GCF of Fractions is 2/574533.Finally, GCF of Fractions for 1022/173, 7472/3321 is 2/574533.