Greatest Common Factor of 1382/651, 7566/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1382/651, 7566/110

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 1382/651,7566/110

Given fractions are 1382/651,7566/110

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 1382,7566

Greatest Common Factor of Numerators i.e. GCF of 1382,7566 is 2 .

LCM of Denominators means LCM of 651,110 as per the given fractions.

LCM of 651,110 is 71610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1382,7566

GCF of Fractions 1382/651,7566/110 is 2/71610

2 1382, 7566
691, 3783

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

Greatest Common Factor of 1382,7566 By Matching Biggest Common Factor Method

Greatest Common Factor of 1382,7566 By Matching Biggest Common Factor Method

Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1,2,691,1382

Factors of 7566

List of positive integer factors of 7566 that divides 7566 without a remainder.

1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566

Greatest Common Factor

We found the factors 1382,7566 . The biggest common factor number is the GCF number.
So the greatest common factor 1382,7566 is 2.

Lets's calculate LCM of 651,110

Given numbers has no common factors except 1. So, there LCM is their product i.e 71610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71610

Therefore, the GCF of Fractions 1382/651,7566/110 is 2/71610

Least Common Multiple of 651,110 with GCF Formula

Least Common Multiple of 651,110 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 651,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,110) = 1

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

GCF(651,110) x common factors =1 x 1 = 1

LCM(651,110) = ( 651 × 110 ) / 1

LCM(651,110) = 71610 / 1

LCM(651,110) = 71610


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 1382/651, 7566/110

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 1382/651, 7566/110?

Answer: GCF of Numerators as per given numbers 1382/651, 7566/110 is

GCF of Numerators i.e. for 1382,7566 is 2

LCM of denominators i.e. for 651,110 is 71610.

Thus, GCF of Fractions is 2/71610.Finally, GCF of Fractions for 1382/651, 7566/110 is 2/71610.