Greatest Common Factor of 536/26, 856/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/26, 856/577

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 536/26,856/577

Given fractions are 536/26,856/577

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 536,856

Greatest Common Factor of Numerators i.e. GCF of 536,856 is 8 .

LCM of Denominators means LCM of 26,577 as per the given fractions.

LCM of 26,577 is 15002 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,856

GCF of Fractions 536/26,856/577 is 8/15002

2 536, 856
2 268, 428
2 134, 214
67, 107

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 536,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,856 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 536,856 . The biggest common factor number is the GCF number.
So the greatest common factor 536,856 is 8.

Lets's calculate LCM of 26,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 15002

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/15002

Therefore, the GCF of Fractions 536/26,856/577 is 8/15002

Least Common Multiple of 26,577 with GCF Formula

Least Common Multiple of 26,577 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 26,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,577) = 1

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

GCF(26,577) x common factors =1 x 1 = 1

LCM(26,577) = ( 26 × 577 ) / 1

LCM(26,577) = 15002 / 1

LCM(26,577) = 15002


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 536/26, 856/577

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 536/26, 856/577?

Answer: GCF of Numerators as per given numbers 536/26, 856/577 is

GCF of Numerators i.e. for 536,856 is 8

LCM of denominators i.e. for 26,577 is 15002.

Thus, GCF of Fractions is 8/15002.Finally, GCF of Fractions for 536/26, 856/577 is 8/15002.