Greatest Common Factor of 1921/150, 3105/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1921/150, 3105/860

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 1921/150,3105/860

Given fractions are 1921/150,3105/860

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 1921,3105

Greatest Common Factor of Numerators i.e. GCF of 1921,3105 is 1 .

LCM of Denominators means LCM of 150,860 as per the given fractions.

LCM of 150,860 is 12900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1921,3105

GCF of Fractions 1921/150,3105/860 is 1/12900

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1921,3105 By Matching Biggest Common Factor Method

Greatest Common Factor of 1921,3105 By Matching Biggest Common Factor Method

Factors of 1921

List of positive integer factors of 1921 that divides 1921 without a remainder.

1,17,113,1921

Factors of 3105

List of positive integer factors of 3105 that divides 3105 without a remainder.

1,3,5,9,15,23,27,45,69,115,135,207,345,621,1035,3105

Greatest Common Factor

We found the factors 1921,3105 . The biggest common factor number is the GCF number.
So the greatest common factor 1921,3105 is 1.

Lets's calculate LCM of 150,860

2 150, 860
5 75, 430
15, 86

∴ So the LCM of the given numbers is 2 x 5 x 15 x 86 = 12900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12900

Therefore, the GCF of Fractions 1921/150,3105/860 is 1/12900

Least Common Multiple of 150,860 with GCF Formula

Least Common Multiple of 150,860 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 150,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,860) = 10

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

GCF(150,860) x common factors =10 x 1 = 10

LCM(150,860) = ( 150 × 860 ) / 10

LCM(150,860) = 129000 / 10

LCM(150,860) = 12900


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 1921/150, 3105/860

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 1921/150, 3105/860?

Answer: GCF of Numerators as per given numbers 1921/150, 3105/860 is

GCF of Numerators i.e. for 1921,3105 is 1

LCM of denominators i.e. for 150,860 is 12900.

Thus, GCF of Fractions is 1/12900.Finally, GCF of Fractions for 1921/150, 3105/860 is 1/12900.