Greatest Common Factor of 632/47, 959/13, 420/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/47, 959/13, 420/784

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 632/47,959/13,420/784

Given fractions are 632/47,959/13,420/784

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 632,959,420

Greatest Common Factor of Numerators i.e. GCF of 632,959,420 is 1 .

LCM of Denominators means LCM of 47,13,784 as per the given fractions.

LCM of 47,13,784 is 479024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,959,420

GCF of Fractions 632/47,959/13,420/784 is 1/479024

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 632,959,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,959,420 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 632,959,420 . The biggest common factor number is the GCF number.
So the greatest common factor 632,959,420 is 1.

Lets's calculate LCM of 47,13,784

Given numbers has no common factors except 1. So, there LCM is their product i.e 479024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/479024

Therefore, the GCF of Fractions 632/47,959/13,420/784 is 1/479024

Least Common Multiple of 47,13,784 with GCF Formula

Least Common Multiple of 47,13,784 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 47,13,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,13,784) = 1

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

GCF(47,13,784) x common factors =1 x 1 = 1

LCM(47,13,784) = ( 47 × 13 × 784 ) / 1

LCM(47,13,784) = 479024 / 1

LCM(47,13,784) = 479024


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 632/47, 959/13, 420/784

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 632/47, 959/13, 420/784?

Answer: GCF of Numerators as per given numbers 632/47, 959/13, 420/784 is

GCF of Numerators i.e. for 632,959,420 is 1

LCM of denominators i.e. for 47,13,784 is 479024.

Thus, GCF of Fractions is 1/479024.Finally, GCF of Fractions for 632/47, 959/13, 420/784 is 1/479024.