Greatest Common Factor of 910/265, 8564/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/265, 8564/213

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 910/265,8564/213

Given fractions are 910/265,8564/213

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 910,8564

Greatest Common Factor of Numerators i.e. GCF of 910,8564 is 2 .

LCM of Denominators means LCM of 265,213 as per the given fractions.

LCM of 265,213 is 56445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,8564

GCF of Fractions 910/265,8564/213 is 2/56445

2 910, 8564
455, 4282

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

Greatest Common Factor of 910,8564 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,8564 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 8564

List of positive integer factors of 8564 that divides 8564 without a remainder.

1,2,4,2141,4282,8564

Greatest Common Factor

We found the factors 910,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 910,8564 is 2.

Lets's calculate LCM of 265,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 56445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56445

Therefore, the GCF of Fractions 910/265,8564/213 is 2/56445

Least Common Multiple of 265,213 with GCF Formula

Least Common Multiple of 265,213 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 265,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,213) = 1

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

GCF(265,213) x common factors =1 x 1 = 1

LCM(265,213) = ( 265 × 213 ) / 1

LCM(265,213) = 56445 / 1

LCM(265,213) = 56445


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 910/265, 8564/213

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 910/265, 8564/213?

Answer: GCF of Numerators as per given numbers 910/265, 8564/213 is

GCF of Numerators i.e. for 910,8564 is 2

LCM of denominators i.e. for 265,213 is 56445.

Thus, GCF of Fractions is 2/56445.Finally, GCF of Fractions for 910/265, 8564/213 is 2/56445.