Greatest Common Factor of 105/6252, 406/1017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 105/6252, 406/1017

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 105/6252,406/1017

Given fractions are 105/6252,406/1017

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 105,406

Greatest Common Factor of Numerators i.e. GCF of 105,406 is 7 .

LCM of Denominators means LCM of 6252,1017 as per the given fractions.

LCM of 6252,1017 is 2119428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 105,406

GCF of Fractions 105/6252,406/1017 is 7/2119428

7 105, 406
15, 58

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 105,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 105,406 By Matching Biggest Common Factor Method

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 105,406 . The biggest common factor number is the GCF number.
So the greatest common factor 105,406 is 7.

Lets's calculate LCM of 6252,1017

3 6252, 1017
2084, 339

∴ So the LCM of the given numbers is 3 x 2084 x 339 = 2119428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2119428

Therefore, the GCF of Fractions 105/6252,406/1017 is 7/2119428

Least Common Multiple of 6252,1017 with GCF Formula

Least Common Multiple of 6252,1017 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 6252,1017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6252,1017) = 3

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

GCF(6252,1017) x common factors =3 x 1 = 3

LCM(6252,1017) = ( 6252 × 1017 ) / 3

LCM(6252,1017) = 6358284 / 3

LCM(6252,1017) = 2119428


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 105/6252, 406/1017

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 105/6252, 406/1017?

Answer: GCF of Numerators as per given numbers 105/6252, 406/1017 is

GCF of Numerators i.e. for 105,406 is 7

LCM of denominators i.e. for 6252,1017 is 2119428.

Thus, GCF of Fractions is 7/2119428.Finally, GCF of Fractions for 105/6252, 406/1017 is 7/2119428.