Greatest Common Factor of 7281/72, 7026/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7281/72, 7026/210

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 7281/72,7026/210

Given fractions are 7281/72,7026/210

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 7281,7026

Greatest Common Factor of Numerators i.e. GCF of 7281,7026 is 3 .

LCM of Denominators means LCM of 72,210 as per the given fractions.

LCM of 72,210 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7281,7026

GCF of Fractions 7281/72,7026/210 is 3/2520

3 7281, 7026
2427, 2342

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7281,7026 By Matching Biggest Common Factor Method

Greatest Common Factor of 7281,7026 By Matching Biggest Common Factor Method

Factors of 7281

List of positive integer factors of 7281 that divides 7281 without a remainder.

1,3,9,809,2427,7281

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1,2,3,6,1171,2342,3513,7026

Greatest Common Factor

We found the factors 7281,7026 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,7026 is 3.

Lets's calculate LCM of 72,210

2 72, 210
3 36, 105
12, 35

∴ So the LCM of the given numbers is 2 x 3 x 12 x 35 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2520

Therefore, the GCF of Fractions 7281/72,7026/210 is 3/2520

Least Common Multiple of 72,210 with GCF Formula

Least Common Multiple of 72,210 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 72,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,210) = 6

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

GCF(72,210) x common factors =6 x 1 = 6

LCM(72,210) = ( 72 × 210 ) / 6

LCM(72,210) = 15120 / 6

LCM(72,210) = 2520


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 7281/72, 7026/210

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 7281/72, 7026/210?

Answer: GCF of Numerators as per given numbers 7281/72, 7026/210 is

GCF of Numerators i.e. for 7281,7026 is 3

LCM of denominators i.e. for 72,210 is 2520.

Thus, GCF of Fractions is 3/2520.Finally, GCF of Fractions for 7281/72, 7026/210 is 3/2520.