Greatest Common Factor of 3142/21, 1610/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3142/21, 1610/235

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 3142/21,1610/235

Given fractions are 3142/21,1610/235

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 3142,1610

Greatest Common Factor of Numerators i.e. GCF of 3142,1610 is 2 .

LCM of Denominators means LCM of 21,235 as per the given fractions.

LCM of 21,235 is 4935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3142,1610

GCF of Fractions 3142/21,1610/235 is 2/4935

2 3142, 1610
1571, 805

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3142,1610 By Matching Biggest Common Factor Method

Greatest Common Factor of 3142,1610 By Matching Biggest Common Factor Method

Factors of 3142

List of positive integer factors of 3142 that divides 3142 without a remainder.

1,2,1571,3142

Factors of 1610

List of positive integer factors of 1610 that divides 1610 without a remainder.

1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610

Greatest Common Factor

We found the factors 3142,1610 . The biggest common factor number is the GCF number.
So the greatest common factor 3142,1610 is 2.

Lets's calculate LCM of 21,235

Given numbers has no common factors except 1. So, there LCM is their product i.e 4935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4935

Therefore, the GCF of Fractions 3142/21,1610/235 is 2/4935

Least Common Multiple of 21,235 with GCF Formula

Least Common Multiple of 21,235 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 21,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,235) = 1

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

GCF(21,235) x common factors =1 x 1 = 1

LCM(21,235) = ( 21 × 235 ) / 1

LCM(21,235) = 4935 / 1

LCM(21,235) = 4935


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 3142/21, 1610/235

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 3142/21, 1610/235?

Answer: GCF of Numerators as per given numbers 3142/21, 1610/235 is

GCF of Numerators i.e. for 3142,1610 is 2

LCM of denominators i.e. for 21,235 is 4935.

Thus, GCF of Fractions is 2/4935.Finally, GCF of Fractions for 3142/21, 1610/235 is 2/4935.