Greatest Common Factor of 988/150, 906/400, 168/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/150, 906/400, 168/943

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 988/150,906/400,168/943

Given fractions are 988/150,906/400,168/943

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 988,906,168

Greatest Common Factor of Numerators i.e. GCF of 988,906,168 is 2 .

LCM of Denominators means LCM of 150,400,943 as per the given fractions.

LCM of 150,400,943 is 1131600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,906,168

GCF of Fractions 988/150,906/400,168/943 is 2/1131600

2 988, 906, 168
494, 453, 84

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

Greatest Common Factor of 988,906,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,906,168 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 988,906,168 . The biggest common factor number is the GCF number.
So the greatest common factor 988,906,168 is 2.

Lets's calculate LCM of 150,400,943

2 150, 400, 943
5 75, 200, 943
5 15, 40, 943
3, 8, 943

∴ So the LCM of the given numbers is 2 x 5 x 5 x 3 x 8 x 943 = 1131600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1131600

Therefore, the GCF of Fractions 988/150,906/400,168/943 is 2/1131600

Least Common Multiple of 150,400,943 with GCF Formula

Least Common Multiple of 150,400,943 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 150,400,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,400,943) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(150,400,943) x common factors =1 x 50 = 50

LCM(150,400,943) = ( 150 × 400 × 943 ) / 50

LCM(150,400,943) = 56580000 / 50

LCM(150,400,943) = 1131600


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 988/150, 906/400, 168/943

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 988/150, 906/400, 168/943?

Answer: GCF of Numerators as per given numbers 988/150, 906/400, 168/943 is

GCF of Numerators i.e. for 988,906,168 is 2

LCM of denominators i.e. for 150,400,943 is 1131600.

Thus, GCF of Fractions is 2/1131600.Finally, GCF of Fractions for 988/150, 906/400, 168/943 is 2/1131600.