Greatest Common Factor of 910/48, 3237/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 910/48, 3237/210

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 910/48,3237/210

Given fractions are 910/48,3237/210

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 910,3237

Greatest Common Factor of Numerators i.e. GCF of 910,3237 is 13 .

LCM of Denominators means LCM of 48,210 as per the given fractions.

LCM of 48,210 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 910,3237

GCF of Fractions 910/48,3237/210 is 13/1680

13 910, 3237
70, 249

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 910,3237 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,3237 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 3237

List of positive integer factors of 3237 that divides 3237 without a remainder.

1,3,13,39,83,249,1079,3237

Greatest Common Factor

We found the factors 910,3237 . The biggest common factor number is the GCF number.
So the greatest common factor 910,3237 is 13.

Lets's calculate LCM of 48,210

2 48, 210
3 24, 105
8, 35

∴ So the LCM of the given numbers is 2 x 3 x 8 x 35 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1680

Therefore, the GCF of Fractions 910/48,3237/210 is 13/1680

Least Common Multiple of 48,210 with GCF Formula

Least Common Multiple of 48,210 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 48,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,210) = 6

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

GCF(48,210) x common factors =6 x 1 = 6

LCM(48,210) = ( 48 × 210 ) / 6

LCM(48,210) = 10080 / 6

LCM(48,210) = 1680


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 910/48, 3237/210

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 910/48, 3237/210?

Answer: GCF of Numerators as per given numbers 910/48, 3237/210 is

GCF of Numerators i.e. for 910,3237 is 13

LCM of denominators i.e. for 48,210 is 1680.

Thus, GCF of Fractions is 13/1680.Finally, GCF of Fractions for 910/48, 3237/210 is 13/1680.