Greatest Common Factor of 2655/69, 8780/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2655/69, 8780/930

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 2655/69,8780/930

Given fractions are 2655/69,8780/930

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 2655,8780

Greatest Common Factor of Numerators i.e. GCF of 2655,8780 is 5 .

LCM of Denominators means LCM of 69,930 as per the given fractions.

LCM of 69,930 is 21390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2655,8780

GCF of Fractions 2655/69,8780/930 is 5/21390

5 2655, 8780
531, 1756

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2655,8780 By Matching Biggest Common Factor Method

Greatest Common Factor of 2655,8780 By Matching Biggest Common Factor Method

Factors of 2655

List of positive integer factors of 2655 that divides 2655 without a remainder.

1,3,5,9,15,45,59,177,295,531,885,2655

Factors of 8780

List of positive integer factors of 8780 that divides 8780 without a remainder.

1,2,4,5,10,20,439,878,1756,2195,4390,8780

Greatest Common Factor

We found the factors 2655,8780 . The biggest common factor number is the GCF number.
So the greatest common factor 2655,8780 is 5.

Lets's calculate LCM of 69,930

3 69, 930
23, 310

∴ So the LCM of the given numbers is 3 x 23 x 310 = 21390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21390

Therefore, the GCF of Fractions 2655/69,8780/930 is 5/21390

Least Common Multiple of 69,930 with GCF Formula

Least Common Multiple of 69,930 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 69,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,930) = 3

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

GCF(69,930) x common factors =3 x 1 = 3

LCM(69,930) = ( 69 × 930 ) / 3

LCM(69,930) = 64170 / 3

LCM(69,930) = 21390


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 2655/69, 8780/930

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 2655/69, 8780/930?

Answer: GCF of Numerators as per given numbers 2655/69, 8780/930 is

GCF of Numerators i.e. for 2655,8780 is 5

LCM of denominators i.e. for 69,930 is 21390.

Thus, GCF of Fractions is 5/21390.Finally, GCF of Fractions for 2655/69, 8780/930 is 5/21390.