Greatest Common Factor of 6070/990, 3755/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6070/990, 3755/921

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 6070/990,3755/921

Given fractions are 6070/990,3755/921

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 6070,3755

Greatest Common Factor of Numerators i.e. GCF of 6070,3755 is 5 .

LCM of Denominators means LCM of 990,921 as per the given fractions.

LCM of 990,921 is 303930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6070,3755

GCF of Fractions 6070/990,3755/921 is 5/303930

5 6070, 3755
1214, 751

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6070,3755 By Matching Biggest Common Factor Method

Greatest Common Factor of 6070,3755 By Matching Biggest Common Factor Method

Factors of 6070

List of positive integer factors of 6070 that divides 6070 without a remainder.

1,2,5,10,607,1214,3035,6070

Factors of 3755

List of positive integer factors of 3755 that divides 3755 without a remainder.

1,5,751,3755

Greatest Common Factor

We found the factors 6070,3755 . The biggest common factor number is the GCF number.
So the greatest common factor 6070,3755 is 5.

Lets's calculate LCM of 990,921

3 990, 921
330, 307

∴ So the LCM of the given numbers is 3 x 330 x 307 = 303930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/303930

Therefore, the GCF of Fractions 6070/990,3755/921 is 5/303930

Least Common Multiple of 990,921 with GCF Formula

Least Common Multiple of 990,921 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 990,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,921) = 3

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

GCF(990,921) x common factors =3 x 1 = 3

LCM(990,921) = ( 990 × 921 ) / 3

LCM(990,921) = 911790 / 3

LCM(990,921) = 303930


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 6070/990, 3755/921

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 6070/990, 3755/921?

Answer: GCF of Numerators as per given numbers 6070/990, 3755/921 is

GCF of Numerators i.e. for 6070,3755 is 5

LCM of denominators i.e. for 990,921 is 303930.

Thus, GCF of Fractions is 5/303930.Finally, GCF of Fractions for 6070/990, 3755/921 is 5/303930.