Greatest Common Factor of 7020/442, 1629/5876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7020/442, 1629/5876

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 7020/442,1629/5876

Given fractions are 7020/442,1629/5876

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 7020,1629

Greatest Common Factor of Numerators i.e. GCF of 7020,1629 is 9 .

LCM of Denominators means LCM of 442,5876 as per the given fractions.

LCM of 442,5876 is 99892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7020,1629

GCF of Fractions 7020/442,1629/5876 is 9/99892

3 7020, 1629
3 2340, 543
780, 181

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7020,1629 By Matching Biggest Common Factor Method

Greatest Common Factor of 7020,1629 By Matching Biggest Common Factor Method

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020

Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1,3,9,181,543,1629

Greatest Common Factor

We found the factors 7020,1629 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,1629 is 9.

Lets's calculate LCM of 442,5876

2 442, 5876
13 221, 2938
17, 226

∴ So the LCM of the given numbers is 2 x 13 x 17 x 226 = 99892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/99892

Therefore, the GCF of Fractions 7020/442,1629/5876 is 9/99892

Least Common Multiple of 442,5876 with GCF Formula

Least Common Multiple of 442,5876 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 442,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,5876) = 26

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

GCF(442,5876) x common factors =26 x 1 = 26

LCM(442,5876) = ( 442 × 5876 ) / 26

LCM(442,5876) = 2597192 / 26

LCM(442,5876) = 99892


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 7020/442, 1629/5876

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 7020/442, 1629/5876?

Answer: GCF of Numerators as per given numbers 7020/442, 1629/5876 is

GCF of Numerators i.e. for 7020,1629 is 9

LCM of denominators i.e. for 442,5876 is 99892.

Thus, GCF of Fractions is 9/99892.Finally, GCF of Fractions for 7020/442, 1629/5876 is 9/99892.