Greatest Common Factor of 7708/744, 2212/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7708/744, 2212/722

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 7708/744,2212/722

Given fractions are 7708/744,2212/722

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 7708,2212

Greatest Common Factor of Numerators i.e. GCF of 7708,2212 is 4 .

LCM of Denominators means LCM of 744,722 as per the given fractions.

LCM of 744,722 is 268584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7708,2212

GCF of Fractions 7708/744,2212/722 is 4/268584

2 7708, 2212
2 3854, 1106
1927, 553

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

Greatest Common Factor of 7708,2212 By Matching Biggest Common Factor Method

Greatest Common Factor of 7708,2212 By Matching Biggest Common Factor Method

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1,2,4,41,47,82,94,164,188,1927,3854,7708

Factors of 2212

List of positive integer factors of 2212 that divides 2212 without a remainder.

1,2,4,7,14,28,79,158,316,553,1106,2212

Greatest Common Factor

We found the factors 7708,2212 . The biggest common factor number is the GCF number.
So the greatest common factor 7708,2212 is 4.

Lets's calculate LCM of 744,722

2 744, 722
372, 361

∴ So the LCM of the given numbers is 2 x 372 x 361 = 268584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/268584

Therefore, the GCF of Fractions 7708/744,2212/722 is 4/268584

Least Common Multiple of 744,722 with GCF Formula

Least Common Multiple of 744,722 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 744,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,722) = 2

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

GCF(744,722) x common factors =2 x 1 = 2

LCM(744,722) = ( 744 × 722 ) / 2

LCM(744,722) = 537168 / 2

LCM(744,722) = 268584


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 7708/744, 2212/722

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 7708/744, 2212/722?

Answer: GCF of Numerators as per given numbers 7708/744, 2212/722 is

GCF of Numerators i.e. for 7708,2212 is 4

LCM of denominators i.e. for 744,722 is 268584.

Thus, GCF of Fractions is 4/268584.Finally, GCF of Fractions for 7708/744, 2212/722 is 4/268584.