Greatest Common Factor of 930/500, 1646/6466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/500, 1646/6466

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 930/500,1646/6466

Given fractions are 930/500,1646/6466

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 930,1646

Greatest Common Factor of Numerators i.e. GCF of 930,1646 is 2 .

LCM of Denominators means LCM of 500,6466 as per the given fractions.

LCM of 500,6466 is 1616500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,1646

GCF of Fractions 930/500,1646/6466 is 2/1616500

2 930, 1646
465, 823

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

Greatest Common Factor of 930,1646 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,1646 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 1646

List of positive integer factors of 1646 that divides 1646 without a remainder.

1,2,823,1646

Greatest Common Factor

We found the factors 930,1646 . The biggest common factor number is the GCF number.
So the greatest common factor 930,1646 is 2.

Lets's calculate LCM of 500,6466

2 500, 6466
250, 3233

∴ So the LCM of the given numbers is 2 x 250 x 3233 = 1616500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1616500

Therefore, the GCF of Fractions 930/500,1646/6466 is 2/1616500

Least Common Multiple of 500,6466 with GCF Formula

Least Common Multiple of 500,6466 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 500,6466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,6466) = 2

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

GCF(500,6466) x common factors =2 x 1 = 2

LCM(500,6466) = ( 500 × 6466 ) / 2

LCM(500,6466) = 3233000 / 2

LCM(500,6466) = 1616500


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 930/500, 1646/6466

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 930/500, 1646/6466?

Answer: GCF of Numerators as per given numbers 930/500, 1646/6466 is

GCF of Numerators i.e. for 930,1646 is 2

LCM of denominators i.e. for 500,6466 is 1616500.

Thus, GCF of Fractions is 2/1616500.Finally, GCF of Fractions for 930/500, 1646/6466 is 2/1616500.