Greatest Common Factor of 847/21, 263/62, 130/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/21, 263/62, 130/429

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 847/21,263/62,130/429

Given fractions are 847/21,263/62,130/429

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 847,263,130

Greatest Common Factor of Numerators i.e. GCF of 847,263,130 is 1 .

LCM of Denominators means LCM of 21,62,429 as per the given fractions.

LCM of 21,62,429 is 186186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,263,130

GCF of Fractions 847/21,263/62,130/429 is 1/186186

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

Greatest Common Factor of 847,263,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,263,130 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 847,263,130 . The biggest common factor number is the GCF number.
So the greatest common factor 847,263,130 is 1.

Lets's calculate LCM of 21,62,429

3 21, 62, 429
7, 62, 143

∴ So the LCM of the given numbers is 3 x 7 x 62 x 143 = 186186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186186

Therefore, the GCF of Fractions 847/21,263/62,130/429 is 1/186186

Least Common Multiple of 21,62,429 with GCF Formula

Least Common Multiple of 21,62,429 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 21,62,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,62,429) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,62,429) x common factors =1 x 3 = 3

LCM(21,62,429) = ( 21 × 62 × 429 ) / 3

LCM(21,62,429) = 558558 / 3

LCM(21,62,429) = 186186


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 847/21, 263/62, 130/429

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 847/21, 263/62, 130/429?

Answer: GCF of Numerators as per given numbers 847/21, 263/62, 130/429 is

GCF of Numerators i.e. for 847,263,130 is 1

LCM of denominators i.e. for 21,62,429 is 186186.

Thus, GCF of Fractions is 1/186186.Finally, GCF of Fractions for 847/21, 263/62, 130/429 is 1/186186.