Greatest Common Factor of 851/30, 496/20, 130/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 851/30, 496/20, 130/779

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 851/30,496/20,130/779

Given fractions are 851/30,496/20,130/779

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 851,496,130

Greatest Common Factor of Numerators i.e. GCF of 851,496,130 is 1 .

LCM of Denominators means LCM of 30,20,779 as per the given fractions.

LCM of 30,20,779 is 46740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 851,496,130

GCF of Fractions 851/30,496/20,130/779 is 1/46740

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

Greatest Common Factor of 851,496,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,496,130 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

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 851,496,130 . The biggest common factor number is the GCF number.
So the greatest common factor 851,496,130 is 1.

Lets's calculate LCM of 30,20,779

2 30, 20, 779
5 15, 10, 779
3, 2, 779

∴ So the LCM of the given numbers is 2 x 5 x 3 x 2 x 779 = 46740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46740

Therefore, the GCF of Fractions 851/30,496/20,130/779 is 1/46740

Least Common Multiple of 30,20,779 with GCF Formula

Least Common Multiple of 30,20,779 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 30,20,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,20,779) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(30,20,779) x common factors =1 x 10 = 10

LCM(30,20,779) = ( 30 × 20 × 779 ) / 10

LCM(30,20,779) = 467400 / 10

LCM(30,20,779) = 46740


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 851/30, 496/20, 130/779

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 851/30, 496/20, 130/779?

Answer: GCF of Numerators as per given numbers 851/30, 496/20, 130/779 is

GCF of Numerators i.e. for 851,496,130 is 1

LCM of denominators i.e. for 30,20,779 is 46740.

Thus, GCF of Fractions is 1/46740.Finally, GCF of Fractions for 851/30, 496/20, 130/779 is 1/46740.