Greatest Common Factor of 2152/104, 7068/2220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2152/104, 7068/2220

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 2152/104,7068/2220

Given fractions are 2152/104,7068/2220

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 2152,7068

Greatest Common Factor of Numerators i.e. GCF of 2152,7068 is 4 .

LCM of Denominators means LCM of 104,2220 as per the given fractions.

LCM of 104,2220 is 57720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2152,7068

GCF of Fractions 2152/104,7068/2220 is 4/57720

2 2152, 7068
2 1076, 3534
538, 1767

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2152,7068 By Matching Biggest Common Factor Method

Greatest Common Factor of 2152,7068 By Matching Biggest Common Factor Method

Factors of 2152

List of positive integer factors of 2152 that divides 2152 without a remainder.

1,2,4,8,269,538,1076,2152

Factors of 7068

List of positive integer factors of 7068 that divides 7068 without a remainder.

1,2,3,4,6,12,19,31,38,57,62,76,93,114,124,186,228,372,589,1178,1767,2356,3534,7068

Greatest Common Factor

We found the factors 2152,7068 . The biggest common factor number is the GCF number.
So the greatest common factor 2152,7068 is 4.

Lets's calculate LCM of 104,2220

2 104, 2220
2 52, 1110
26, 555

∴ So the LCM of the given numbers is 2 x 2 x 26 x 555 = 57720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/57720

Therefore, the GCF of Fractions 2152/104,7068/2220 is 4/57720

Least Common Multiple of 104,2220 with GCF Formula

Least Common Multiple of 104,2220 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 104,2220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,2220) = 4

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

GCF(104,2220) x common factors =4 x 1 = 4

LCM(104,2220) = ( 104 × 2220 ) / 4

LCM(104,2220) = 230880 / 4

LCM(104,2220) = 57720


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 2152/104, 7068/2220

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 2152/104, 7068/2220?

Answer: GCF of Numerators as per given numbers 2152/104, 7068/2220 is

GCF of Numerators i.e. for 2152,7068 is 4

LCM of denominators i.e. for 104,2220 is 57720.

Thus, GCF of Fractions is 4/57720.Finally, GCF of Fractions for 2152/104, 7068/2220 is 4/57720.