Greatest Common Factor of 8410/175, 3880/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8410/175, 3880/638

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 8410/175,3880/638

Given fractions are 8410/175,3880/638

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 8410,3880

Greatest Common Factor of Numerators i.e. GCF of 8410,3880 is 10 .

LCM of Denominators means LCM of 175,638 as per the given fractions.

LCM of 175,638 is 111650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8410,3880

GCF of Fractions 8410/175,3880/638 is 10/111650

2 8410, 3880
5 4205, 1940
841, 388

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

Greatest Common Factor of 8410,3880 By Matching Biggest Common Factor Method

Greatest Common Factor of 8410,3880 By Matching Biggest Common Factor Method

Factors of 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1,2,5,10,29,58,145,290,841,1682,4205,8410

Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1,2,4,5,8,10,20,40,97,194,388,485,776,970,1940,3880

Greatest Common Factor

We found the factors 8410,3880 . The biggest common factor number is the GCF number.
So the greatest common factor 8410,3880 is 10.

Lets's calculate LCM of 175,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 111650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/111650

Therefore, the GCF of Fractions 8410/175,3880/638 is 10/111650

Least Common Multiple of 175,638 with GCF Formula

Least Common Multiple of 175,638 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 175,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,638) = 1

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

GCF(175,638) x common factors =1 x 1 = 1

LCM(175,638) = ( 175 × 638 ) / 1

LCM(175,638) = 111650 / 1

LCM(175,638) = 111650


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 8410/175, 3880/638

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 8410/175, 3880/638?

Answer: GCF of Numerators as per given numbers 8410/175, 3880/638 is

GCF of Numerators i.e. for 8410,3880 is 10

LCM of denominators i.e. for 175,638 is 111650.

Thus, GCF of Fractions is 10/111650.Finally, GCF of Fractions for 8410/175, 3880/638 is 10/111650.