Greatest Common Factor of 36/37, 304/88, 922/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/37, 304/88, 922/334

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 36/37,304/88,922/334

Given fractions are 36/37,304/88,922/334

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 36,304,922

Greatest Common Factor of Numerators i.e. GCF of 36,304,922 is 2 .

LCM of Denominators means LCM of 37,88,334 as per the given fractions.

LCM of 37,88,334 is 543752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,304,922

GCF of Fractions 36/37,304/88,922/334 is 2/543752

2 36, 304, 922
18, 152, 461

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

Greatest Common Factor of 36,304,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,304,922 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 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 36,304,922 . The biggest common factor number is the GCF number.
So the greatest common factor 36,304,922 is 2.

Lets's calculate LCM of 37,88,334

2 37, 88, 334
37, 44, 167

∴ So the LCM of the given numbers is 2 x 37 x 44 x 167 = 543752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/543752

Therefore, the GCF of Fractions 36/37,304/88,922/334 is 2/543752

Least Common Multiple of 37,88,334 with GCF Formula

Least Common Multiple of 37,88,334 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 37,88,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,88,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,88,334) x common factors =1 x 2 = 2

LCM(37,88,334) = ( 37 × 88 × 334 ) / 2

LCM(37,88,334) = 1087504 / 2

LCM(37,88,334) = 543752


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 36/37, 304/88, 922/334

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 36/37, 304/88, 922/334?

Answer: GCF of Numerators as per given numbers 36/37, 304/88, 922/334 is

GCF of Numerators i.e. for 36,304,922 is 2

LCM of denominators i.e. for 37,88,334 is 543752.

Thus, GCF of Fractions is 2/543752.Finally, GCF of Fractions for 36/37, 304/88, 922/334 is 2/543752.