Greatest Common Factor of 715/756, 511/892, 474/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 715/756, 511/892, 474/347

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 715/756,511/892,474/347

Given fractions are 715/756,511/892,474/347

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 715,511,474

Greatest Common Factor of Numerators i.e. GCF of 715,511,474 is 1 .

LCM of Denominators means LCM of 756,892,347 as per the given fractions.

LCM of 756,892,347 is 58500036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 715,511,474

GCF of Fractions 715/756,511/892,474/347 is 1/58500036

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

Greatest Common Factor of 715,511,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,511,474 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 715,511,474 . The biggest common factor number is the GCF number.
So the greatest common factor 715,511,474 is 1.

Lets's calculate LCM of 756,892,347

2 756, 892, 347
2 378, 446, 347
189, 223, 347

∴ So the LCM of the given numbers is 2 x 2 x 189 x 223 x 347 = 58500036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58500036

Therefore, the GCF of Fractions 715/756,511/892,474/347 is 1/58500036

Least Common Multiple of 756,892,347 with GCF Formula

Least Common Multiple of 756,892,347 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 756,892,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,892,347) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(756,892,347) x common factors =1 x 4 = 4

LCM(756,892,347) = ( 756 × 892 × 347 ) / 4

LCM(756,892,347) = 234000144 / 4

LCM(756,892,347) = 58500036


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 715/756, 511/892, 474/347

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 715/756, 511/892, 474/347?

Answer: GCF of Numerators as per given numbers 715/756, 511/892, 474/347 is

GCF of Numerators i.e. for 715,511,474 is 1

LCM of denominators i.e. for 756,892,347 is 58500036.

Thus, GCF of Fractions is 1/58500036.Finally, GCF of Fractions for 715/756, 511/892, 474/347 is 1/58500036.