Greatest Common Factor of 536/35, 176/82, 800/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/35, 176/82, 800/938

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 536/35,176/82,800/938

Given fractions are 536/35,176/82,800/938

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 536,176,800

Greatest Common Factor of Numerators i.e. GCF of 536,176,800 is 8 .

LCM of Denominators means LCM of 35,82,938 as per the given fractions.

LCM of 35,82,938 is 192290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,176,800

GCF of Fractions 536/35,176/82,800/938 is 8/192290

2 536, 176, 800
2 268, 88, 400
2 134, 44, 200
67, 22, 100

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 536,176,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,176,800 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 536,176,800 . The biggest common factor number is the GCF number.
So the greatest common factor 536,176,800 is 8.

Lets's calculate LCM of 35,82,938

2 35, 82, 938
7 35, 41, 469
5, 41, 67

∴ So the LCM of the given numbers is 2 x 7 x 5 x 41 x 67 = 192290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/192290

Therefore, the GCF of Fractions 536/35,176/82,800/938 is 8/192290

Least Common Multiple of 35,82,938 with GCF Formula

Least Common Multiple of 35,82,938 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 35,82,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,82,938) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,82,938) x common factors =1 x 14 = 14

LCM(35,82,938) = ( 35 × 82 × 938 ) / 14

LCM(35,82,938) = 2692060 / 14

LCM(35,82,938) = 192290


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 536/35, 176/82, 800/938

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 536/35, 176/82, 800/938?

Answer: GCF of Numerators as per given numbers 536/35, 176/82, 800/938 is

GCF of Numerators i.e. for 536,176,800 is 8

LCM of denominators i.e. for 35,82,938 is 192290.

Thus, GCF of Fractions is 8/192290.Finally, GCF of Fractions for 536/35, 176/82, 800/938 is 8/192290.