Greatest Common Factor of 2166/40, 2130/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2166/40, 2130/565

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 2166/40,2130/565

Given fractions are 2166/40,2130/565

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 2166,2130

Greatest Common Factor of Numerators i.e. GCF of 2166,2130 is 6 .

LCM of Denominators means LCM of 40,565 as per the given fractions.

LCM of 40,565 is 4520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2166,2130

GCF of Fractions 2166/40,2130/565 is 6/4520

2 2166, 2130
3 1083, 1065
361, 355

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2166,2130 By Matching Biggest Common Factor Method

Greatest Common Factor of 2166,2130 By Matching Biggest Common Factor Method

Factors of 2166

List of positive integer factors of 2166 that divides 2166 without a remainder.

1,2,3,6,19,38,57,114,361,722,1083,2166

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Greatest Common Factor

We found the factors 2166,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 2166,2130 is 6.

Lets's calculate LCM of 40,565

5 40, 565
8, 113

∴ So the LCM of the given numbers is 5 x 8 x 113 = 4520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4520

Therefore, the GCF of Fractions 2166/40,2130/565 is 6/4520

Least Common Multiple of 40,565 with GCF Formula

Least Common Multiple of 40,565 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 40,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,565) = 5

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

GCF(40,565) x common factors =5 x 1 = 5

LCM(40,565) = ( 40 × 565 ) / 5

LCM(40,565) = 22600 / 5

LCM(40,565) = 4520


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 2166/40, 2130/565

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 2166/40, 2130/565?

Answer: GCF of Numerators as per given numbers 2166/40, 2130/565 is

GCF of Numerators i.e. for 2166,2130 is 6

LCM of denominators i.e. for 40,565 is 4520.

Thus, GCF of Fractions is 6/4520.Finally, GCF of Fractions for 2166/40, 2130/565 is 6/4520.