Greatest Common Factor of 930/389, 9220/1962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/389, 9220/1962

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 930/389,9220/1962

Given fractions are 930/389,9220/1962

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 930,9220

Greatest Common Factor of Numerators i.e. GCF of 930,9220 is 10 .

LCM of Denominators means LCM of 389,1962 as per the given fractions.

LCM of 389,1962 is 763218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,9220

GCF of Fractions 930/389,9220/1962 is 10/763218

2 930, 9220
5 465, 4610
93, 922

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 930,9220 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,9220 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 9220

List of positive integer factors of 9220 that divides 9220 without a remainder.

1,2,4,5,10,20,461,922,1844,2305,4610,9220

Greatest Common Factor

We found the factors 930,9220 . The biggest common factor number is the GCF number.
So the greatest common factor 930,9220 is 10.

Lets's calculate LCM of 389,1962

Given numbers has no common factors except 1. So, there LCM is their product i.e 763218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/763218

Therefore, the GCF of Fractions 930/389,9220/1962 is 10/763218

Least Common Multiple of 389,1962 with GCF Formula

Least Common Multiple of 389,1962 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 389,1962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,1962) = 1

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

GCF(389,1962) x common factors =1 x 1 = 1

LCM(389,1962) = ( 389 × 1962 ) / 1

LCM(389,1962) = 763218 / 1

LCM(389,1962) = 763218


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 930/389, 9220/1962

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 930/389, 9220/1962?

Answer: GCF of Numerators as per given numbers 930/389, 9220/1962 is

GCF of Numerators i.e. for 930,9220 is 10

LCM of denominators i.e. for 389,1962 is 763218.

Thus, GCF of Fractions is 10/763218.Finally, GCF of Fractions for 930/389, 9220/1962 is 10/763218.