Greatest Common Factor of 7722/52, 5580/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7722/52, 5580/582

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 7722/52,5580/582

Given fractions are 7722/52,5580/582

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 7722,5580

Greatest Common Factor of Numerators i.e. GCF of 7722,5580 is 18 .

LCM of Denominators means LCM of 52,582 as per the given fractions.

LCM of 52,582 is 15132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7722,5580

GCF of Fractions 7722/52,5580/582 is 18/15132

2 7722, 5580
3 3861, 2790
3 1287, 930
429, 310

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 7722,5580 By Matching Biggest Common Factor Method

Greatest Common Factor of 7722,5580 By Matching Biggest Common Factor Method

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580

Greatest Common Factor

We found the factors 7722,5580 . The biggest common factor number is the GCF number.
So the greatest common factor 7722,5580 is 18.

Lets's calculate LCM of 52,582

2 52, 582
26, 291

∴ So the LCM of the given numbers is 2 x 26 x 291 = 15132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/15132

Therefore, the GCF of Fractions 7722/52,5580/582 is 18/15132

Least Common Multiple of 52,582 with GCF Formula

Least Common Multiple of 52,582 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 52,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,582) = 2

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

GCF(52,582) x common factors =2 x 1 = 2

LCM(52,582) = ( 52 × 582 ) / 2

LCM(52,582) = 30264 / 2

LCM(52,582) = 15132


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 7722/52, 5580/582

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 7722/52, 5580/582?

Answer: GCF of Numerators as per given numbers 7722/52, 5580/582 is

GCF of Numerators i.e. for 7722,5580 is 18

LCM of denominators i.e. for 52,582 is 15132.

Thus, GCF of Fractions is 18/15132.Finally, GCF of Fractions for 7722/52, 5580/582 is 18/15132.