Greatest Common Factor of 36/440, 888/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/440, 888/154

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 36/440,888/154

Given fractions are 36/440,888/154

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 36,888

Greatest Common Factor of Numerators i.e. GCF of 36,888 is 12 .

LCM of Denominators means LCM of 440,154 as per the given fractions.

LCM of 440,154 is 3080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,888

GCF of Fractions 36/440,888/154 is 12/3080

2 36, 888
2 18, 444
3 9, 222
3, 74

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 36,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,888 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 36,888 . The biggest common factor number is the GCF number.
So the greatest common factor 36,888 is 12.

Lets's calculate LCM of 440,154

2 440, 154
11 220, 77
20, 7

∴ So the LCM of the given numbers is 2 x 11 x 20 x 7 = 3080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3080

Therefore, the GCF of Fractions 36/440,888/154 is 12/3080

Least Common Multiple of 440,154 with GCF Formula

Least Common Multiple of 440,154 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 440,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,154) = 22

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

GCF(440,154) x common factors =22 x 1 = 22

LCM(440,154) = ( 440 × 154 ) / 22

LCM(440,154) = 67760 / 22

LCM(440,154) = 3080


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 36/440, 888/154

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 36/440, 888/154?

Answer: GCF of Numerators as per given numbers 36/440, 888/154 is

GCF of Numerators i.e. for 36,888 is 12

LCM of denominators i.e. for 440,154 is 3080.

Thus, GCF of Fractions is 12/3080.Finally, GCF of Fractions for 36/440, 888/154 is 12/3080.