Greatest Common Factor of 511/474, 7566/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/474, 7566/382

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 511/474,7566/382

Given fractions are 511/474,7566/382

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 511,7566

Greatest Common Factor of Numerators i.e. GCF of 511,7566 is 1 .

LCM of Denominators means LCM of 474,382 as per the given fractions.

LCM of 474,382 is 90534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,7566

GCF of Fractions 511/474,7566/382 is 1/90534

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

Greatest Common Factor of 511,7566 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,7566 By Matching Biggest Common Factor Method

Factors of 511

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

1,7,73,511

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 511,7566 . The biggest common factor number is the GCF number.
So the greatest common factor 511,7566 is 1.

Lets's calculate LCM of 474,382

2 474, 382
237, 191

∴ So the LCM of the given numbers is 2 x 237 x 191 = 90534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90534

Therefore, the GCF of Fractions 511/474,7566/382 is 1/90534

Least Common Multiple of 474,382 with GCF Formula

Least Common Multiple of 474,382 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 474,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,382) = 2

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

GCF(474,382) x common factors =2 x 1 = 2

LCM(474,382) = ( 474 × 382 ) / 2

LCM(474,382) = 181068 / 2

LCM(474,382) = 90534


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 511/474, 7566/382

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 511/474, 7566/382?

Answer: GCF of Numerators as per given numbers 511/474, 7566/382 is

GCF of Numerators i.e. for 511,7566 is 1

LCM of denominators i.e. for 474,382 is 90534.

Thus, GCF of Fractions is 1/90534.Finally, GCF of Fractions for 511/474, 7566/382 is 1/90534.