Greatest Common Factor of 7762/75, 1506/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7762/75, 1506/538

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 7762/75,1506/538

Given fractions are 7762/75,1506/538

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 7762,1506

Greatest Common Factor of Numerators i.e. GCF of 7762,1506 is 2 .

LCM of Denominators means LCM of 75,538 as per the given fractions.

LCM of 75,538 is 40350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7762,1506

GCF of Fractions 7762/75,1506/538 is 2/40350

2 7762, 1506
3881, 753

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

Greatest Common Factor of 7762,1506 By Matching Biggest Common Factor Method

Greatest Common Factor of 7762,1506 By Matching Biggest Common Factor Method

Factors of 7762

List of positive integer factors of 7762 that divides 7762 without a remainder.

1,2,3881,7762

Factors of 1506

List of positive integer factors of 1506 that divides 1506 without a remainder.

1,2,3,6,251,502,753,1506

Greatest Common Factor

We found the factors 7762,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 7762,1506 is 2.

Lets's calculate LCM of 75,538

Given numbers has no common factors except 1. So, there LCM is their product i.e 40350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40350

Therefore, the GCF of Fractions 7762/75,1506/538 is 2/40350

Least Common Multiple of 75,538 with GCF Formula

Least Common Multiple of 75,538 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 75,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,538) = 1

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

GCF(75,538) x common factors =1 x 1 = 1

LCM(75,538) = ( 75 × 538 ) / 1

LCM(75,538) = 40350 / 1

LCM(75,538) = 40350


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 7762/75, 1506/538

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 7762/75, 1506/538?

Answer: GCF of Numerators as per given numbers 7762/75, 1506/538 is

GCF of Numerators i.e. for 7762,1506 is 2

LCM of denominators i.e. for 75,538 is 40350.

Thus, GCF of Fractions is 2/40350.Finally, GCF of Fractions for 7762/75, 1506/538 is 2/40350.