Greatest Common Factor of 511/5776, 283/3624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 511/5776, 283/3624

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 511/5776,283/3624

Given fractions are 511/5776,283/3624

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 511,283

Greatest Common Factor of Numerators i.e. GCF of 511,283 is 1 .

LCM of Denominators means LCM of 5776,3624 as per the given fractions.

LCM of 5776,3624 is 2616528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 511,283

GCF of Fractions 511/5776,283/3624 is 1/2616528

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

Greatest Common Factor of 511,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,283 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 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 511,283 . The biggest common factor number is the GCF number.
So the greatest common factor 511,283 is 1.

Lets's calculate LCM of 5776,3624

2 5776, 3624
2 2888, 1812
2 1444, 906
722, 453

∴ So the LCM of the given numbers is 2 x 2 x 2 x 722 x 453 = 2616528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2616528

Therefore, the GCF of Fractions 511/5776,283/3624 is 1/2616528

Least Common Multiple of 5776,3624 with GCF Formula

Least Common Multiple of 5776,3624 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 5776,3624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5776,3624) = 8

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

GCF(5776,3624) x common factors =8 x 1 = 8

LCM(5776,3624) = ( 5776 × 3624 ) / 8

LCM(5776,3624) = 20932224 / 8

LCM(5776,3624) = 2616528


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 511/5776, 283/3624

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 511/5776, 283/3624?

Answer: GCF of Numerators as per given numbers 511/5776, 283/3624 is

GCF of Numerators i.e. for 511,283 is 1

LCM of denominators i.e. for 5776,3624 is 2616528.

Thus, GCF of Fractions is 1/2616528.Finally, GCF of Fractions for 511/5776, 283/3624 is 1/2616528.