Greatest Common Factor of 516/66, 533/75, 269/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/66, 533/75, 269/971

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 516/66,533/75,269/971

Given fractions are 516/66,533/75,269/971

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 516,533,269

Greatest Common Factor of Numerators i.e. GCF of 516,533,269 is 1 .

LCM of Denominators means LCM of 66,75,971 as per the given fractions.

LCM of 66,75,971 is 1602150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,533,269

GCF of Fractions 516/66,533/75,269/971 is 1/1602150

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

Greatest Common Factor of 516,533,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,533,269 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 516,533,269 . The biggest common factor number is the GCF number.
So the greatest common factor 516,533,269 is 1.

Lets's calculate LCM of 66,75,971

3 66, 75, 971
22, 25, 971

∴ So the LCM of the given numbers is 3 x 22 x 25 x 971 = 1602150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1602150

Therefore, the GCF of Fractions 516/66,533/75,269/971 is 1/1602150

Least Common Multiple of 66,75,971 with GCF Formula

Least Common Multiple of 66,75,971 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 66,75,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,75,971) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,75,971) x common factors =1 x 3 = 3

LCM(66,75,971) = ( 66 × 75 × 971 ) / 3

LCM(66,75,971) = 4806450 / 3

LCM(66,75,971) = 1602150


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 516/66, 533/75, 269/971

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 516/66, 533/75, 269/971?

Answer: GCF of Numerators as per given numbers 516/66, 533/75, 269/971 is

GCF of Numerators i.e. for 516,533,269 is 1

LCM of denominators i.e. for 66,75,971 is 1602150.

Thus, GCF of Fractions is 1/1602150.Finally, GCF of Fractions for 516/66, 533/75, 269/971 is 1/1602150.