Greatest Common Factor of 1467/750, 7772/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1467/750, 7772/218

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 1467/750,7772/218

Given fractions are 1467/750,7772/218

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 1467,7772

Greatest Common Factor of Numerators i.e. GCF of 1467,7772 is 1 .

LCM of Denominators means LCM of 750,218 as per the given fractions.

LCM of 750,218 is 81750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1467,7772

GCF of Fractions 1467/750,7772/218 is 1/81750

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1467,7772 By Matching Biggest Common Factor Method

Greatest Common Factor of 1467,7772 By Matching Biggest Common Factor Method

Factors of 1467

List of positive integer factors of 1467 that divides 1467 without a remainder.

1,3,9,163,489,1467

Factors of 7772

List of positive integer factors of 7772 that divides 7772 without a remainder.

1,2,4,29,58,67,116,134,268,1943,3886,7772

Greatest Common Factor

We found the factors 1467,7772 . The biggest common factor number is the GCF number.
So the greatest common factor 1467,7772 is 1.

Lets's calculate LCM of 750,218

2 750, 218
375, 109

∴ So the LCM of the given numbers is 2 x 375 x 109 = 81750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81750

Therefore, the GCF of Fractions 1467/750,7772/218 is 1/81750

Least Common Multiple of 750,218 with GCF Formula

Least Common Multiple of 750,218 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 750,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,218) = 2

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

GCF(750,218) x common factors =2 x 1 = 2

LCM(750,218) = ( 750 × 218 ) / 2

LCM(750,218) = 163500 / 2

LCM(750,218) = 81750


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 1467/750, 7772/218

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 1467/750, 7772/218?

Answer: GCF of Numerators as per given numbers 1467/750, 7772/218 is

GCF of Numerators i.e. for 1467,7772 is 1

LCM of denominators i.e. for 750,218 is 81750.

Thus, GCF of Fractions is 1/81750.Finally, GCF of Fractions for 1467/750, 7772/218 is 1/81750.