Greatest Common Factor of 222/26, 280/88, 854/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 222/26, 280/88, 854/960

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 222/26,280/88,854/960

Given fractions are 222/26,280/88,854/960

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 222,280,854

Greatest Common Factor of Numerators i.e. GCF of 222,280,854 is 2 .

LCM of Denominators means LCM of 26,88,960 as per the given fractions.

LCM of 26,88,960 is 137280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 222,280,854

GCF of Fractions 222/26,280/88,854/960 is 2/137280

2 222, 280, 854
111, 140, 427

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

Greatest Common Factor of 222,280,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,280,854 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 222,280,854 . The biggest common factor number is the GCF number.
So the greatest common factor 222,280,854 is 2.

Lets's calculate LCM of 26,88,960

2 26, 88, 960
2 13, 44, 480
2 13, 22, 240
13, 11, 120

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 11 x 120 = 137280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137280

Therefore, the GCF of Fractions 222/26,280/88,854/960 is 2/137280

Least Common Multiple of 26,88,960 with GCF Formula

Least Common Multiple of 26,88,960 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 26,88,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,88,960) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(26,88,960) x common factors =2 x 8 = 16

LCM(26,88,960) = ( 26 × 88 × 960 ) / 16

LCM(26,88,960) = 2196480 / 16

LCM(26,88,960) = 137280


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 222/26, 280/88, 854/960

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 222/26, 280/88, 854/960?

Answer: GCF of Numerators as per given numbers 222/26, 280/88, 854/960 is

GCF of Numerators i.e. for 222,280,854 is 2

LCM of denominators i.e. for 26,88,960 is 137280.

Thus, GCF of Fractions is 2/137280.Finally, GCF of Fractions for 222/26, 280/88, 854/960 is 2/137280.