Greatest Common Factor of 338/47, 162/83, 100/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/47, 162/83, 100/772

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 338/47,162/83,100/772

Given fractions are 338/47,162/83,100/772

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 338,162,100

Greatest Common Factor of Numerators i.e. GCF of 338,162,100 is 2 .

LCM of Denominators means LCM of 47,83,772 as per the given fractions.

LCM of 47,83,772 is 3011572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,162,100

GCF of Fractions 338/47,162/83,100/772 is 2/3011572

2 338, 162, 100
169, 81, 50

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

Greatest Common Factor of 338,162,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,162,100 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 338,162,100 . The biggest common factor number is the GCF number.
So the greatest common factor 338,162,100 is 2.

Lets's calculate LCM of 47,83,772

Given numbers has no common factors except 1. So, there LCM is their product i.e 3011572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3011572

Therefore, the GCF of Fractions 338/47,162/83,100/772 is 2/3011572

Least Common Multiple of 47,83,772 with GCF Formula

Least Common Multiple of 47,83,772 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 47,83,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,83,772) = 1

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

GCF(47,83,772) x common factors =1 x 1 = 1

LCM(47,83,772) = ( 47 × 83 × 772 ) / 1

LCM(47,83,772) = 3011572 / 1

LCM(47,83,772) = 3011572


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 338/47, 162/83, 100/772

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 338/47, 162/83, 100/772?

Answer: GCF of Numerators as per given numbers 338/47, 162/83, 100/772 is

GCF of Numerators i.e. for 338,162,100 is 2

LCM of denominators i.e. for 47,83,772 is 3011572.

Thus, GCF of Fractions is 2/3011572.Finally, GCF of Fractions for 338/47, 162/83, 100/772 is 2/3011572.