Greatest Common Factor of 552/772, 7622/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/772, 7622/388

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 552/772,7622/388

Given fractions are 552/772,7622/388

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 552,7622

Greatest Common Factor of Numerators i.e. GCF of 552,7622 is 2 .

LCM of Denominators means LCM of 772,388 as per the given fractions.

LCM of 772,388 is 74884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,7622

GCF of Fractions 552/772,7622/388 is 2/74884

2 552, 7622
276, 3811

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

Greatest Common Factor of 552,7622 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,7622 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1,2,37,74,103,206,3811,7622

Greatest Common Factor

We found the factors 552,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 552,7622 is 2.

Lets's calculate LCM of 772,388

2 772, 388
2 386, 194
193, 97

∴ So the LCM of the given numbers is 2 x 2 x 193 x 97 = 74884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74884

Therefore, the GCF of Fractions 552/772,7622/388 is 2/74884

Least Common Multiple of 772,388 with GCF Formula

Least Common Multiple of 772,388 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 772,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,388) = 4

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

GCF(772,388) x common factors =4 x 1 = 4

LCM(772,388) = ( 772 × 388 ) / 4

LCM(772,388) = 299536 / 4

LCM(772,388) = 74884


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 552/772, 7622/388

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 552/772, 7622/388?

Answer: GCF of Numerators as per given numbers 552/772, 7622/388 is

GCF of Numerators i.e. for 552,7622 is 2

LCM of denominators i.e. for 772,388 is 74884.

Thus, GCF of Fractions is 2/74884.Finally, GCF of Fractions for 552/772, 7622/388 is 2/74884.