Greatest Common Factor of 910/866, 9008/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 910/866, 9008/624

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 910/866,9008/624

Given fractions are 910/866,9008/624

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 910,9008

Greatest Common Factor of Numerators i.e. GCF of 910,9008 is 2 .

LCM of Denominators means LCM of 866,624 as per the given fractions.

LCM of 866,624 is 270192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,9008

GCF of Fractions 910/866,9008/624 is 2/270192

2 910, 9008
455, 4504

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

Greatest Common Factor of 910,9008 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,9008 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 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1,2,4,8,16,563,1126,2252,4504,9008

Greatest Common Factor

We found the factors 910,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 910,9008 is 2.


Lets's calculate LCM of 866,624

2 866, 624
433, 312

∴ So the LCM of the given numbers is 2 x 433 x 312 = 270192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270192

Therefore, the GCF of Fractions 910/866,9008/624 is 2/270192

Least Common Multiple of 866,624 with GCF Formula

Least Common Multiple of 866,624 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 866,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,624) = 2

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

GCF(866,624) x common factors =2 x 1 = 2

LCM(866,624) = ( 866 × 624 ) / 2

LCM(866,624) = 540384 / 2

LCM(866,624) = 270192


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 910/866, 9008/624

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 910/866, 9008/624?

Answer: GCF of Numerators as per given numbers 910/866, 9008/624 is

GCF of Numerators i.e. for 910,9008 is 2

LCM of denominators i.e. for 866,624 is 270192.

Thus, GCF of Fractions is 2/270192.Finally, GCF of Fractions for 910/866, 9008/624 is 2/270192.