Greatest Common Factor of 1902/870, 1926/7367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1902/870, 1926/7367

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 1902/870,1926/7367

Given fractions are 1902/870,1926/7367

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 1902,1926

Greatest Common Factor of Numerators i.e. GCF of 1902,1926 is 6 .

LCM of Denominators means LCM of 870,7367 as per the given fractions.

LCM of 870,7367 is 6409290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1902,1926

GCF of Fractions 1902/870,1926/7367 is 6/6409290

2 1902, 1926
3 951, 963
317, 321

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1902,1926 By Matching Biggest Common Factor Method

Greatest Common Factor of 1902,1926 By Matching Biggest Common Factor Method

Factors of 1902

List of positive integer factors of 1902 that divides 1902 without a remainder.

1,2,3,6,317,634,951,1902

Factors of 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1,2,3,6,9,18,107,214,321,642,963,1926

Greatest Common Factor

We found the factors 1902,1926 . The biggest common factor number is the GCF number.
So the greatest common factor 1902,1926 is 6.

Lets's calculate LCM of 870,7367

Given numbers has no common factors except 1. So, there LCM is their product i.e 6409290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6409290

Therefore, the GCF of Fractions 1902/870,1926/7367 is 6/6409290

Least Common Multiple of 870,7367 with GCF Formula

Least Common Multiple of 870,7367 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 870,7367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,7367) = 1

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

GCF(870,7367) x common factors =1 x 1 = 1

LCM(870,7367) = ( 870 × 7367 ) / 1

LCM(870,7367) = 6409290 / 1

LCM(870,7367) = 6409290


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 1902/870, 1926/7367

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 1902/870, 1926/7367?

Answer: GCF of Numerators as per given numbers 1902/870, 1926/7367 is

GCF of Numerators i.e. for 1902,1926 is 6

LCM of denominators i.e. for 870,7367 is 6409290.

Thus, GCF of Fractions is 6/6409290.Finally, GCF of Fractions for 1902/870, 1926/7367 is 6/6409290.