Greatest Common Factor of 528/31, 8022/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 528/31, 8022/146

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 528/31,8022/146

Given fractions are 528/31,8022/146

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 528,8022

Greatest Common Factor of Numerators i.e. GCF of 528,8022 is 6 .

LCM of Denominators means LCM of 31,146 as per the given fractions.

LCM of 31,146 is 4526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 528,8022

GCF of Fractions 528/31,8022/146 is 6/4526

2 528, 8022
3 264, 4011
88, 1337

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 528,8022 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,8022 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors 528,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 528,8022 is 6.

Lets's calculate LCM of 31,146

Given numbers has no common factors except 1. So, there LCM is their product i.e 4526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4526

Therefore, the GCF of Fractions 528/31,8022/146 is 6/4526

Least Common Multiple of 31,146 with GCF Formula

Least Common Multiple of 31,146 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 31,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,146) = 1

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

GCF(31,146) x common factors =1 x 1 = 1

LCM(31,146) = ( 31 × 146 ) / 1

LCM(31,146) = 4526 / 1

LCM(31,146) = 4526


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 528/31, 8022/146

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 528/31, 8022/146?

Answer: GCF of Numerators as per given numbers 528/31, 8022/146 is

GCF of Numerators i.e. for 528,8022 is 6

LCM of denominators i.e. for 31,146 is 4526.

Thus, GCF of Fractions is 6/4526.Finally, GCF of Fractions for 528/31, 8022/146 is 6/4526.