Greatest Common Factor of 578/26, 264/85, 757/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/26, 264/85, 757/514

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 578/26,264/85,757/514

Given fractions are 578/26,264/85,757/514

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 578,264,757

Greatest Common Factor of Numerators i.e. GCF of 578,264,757 is 1 .

LCM of Denominators means LCM of 26,85,514 as per the given fractions.

LCM of 26,85,514 is 567970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,264,757

GCF of Fractions 578/26,264/85,757/514 is 1/567970

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

Greatest Common Factor of 578,264,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,264,757 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 578,264,757 . The biggest common factor number is the GCF number.
So the greatest common factor 578,264,757 is 1.

Lets's calculate LCM of 26,85,514

2 26, 85, 514
13, 85, 257

∴ So the LCM of the given numbers is 2 x 13 x 85 x 257 = 567970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/567970

Therefore, the GCF of Fractions 578/26,264/85,757/514 is 1/567970

Least Common Multiple of 26,85,514 with GCF Formula

Least Common Multiple of 26,85,514 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 26,85,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,85,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(26,85,514) x common factors =1 x 2 = 2

LCM(26,85,514) = ( 26 × 85 × 514 ) / 2

LCM(26,85,514) = 1135940 / 2

LCM(26,85,514) = 567970


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 578/26, 264/85, 757/514

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 578/26, 264/85, 757/514?

Answer: GCF of Numerators as per given numbers 578/26, 264/85, 757/514 is

GCF of Numerators i.e. for 578,264,757 is 1

LCM of denominators i.e. for 26,85,514 is 567970.

Thus, GCF of Fractions is 1/567970.Finally, GCF of Fractions for 578/26, 264/85, 757/514 is 1/567970.