Greatest Common Factor of 644/69, 566/71, 906/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/69, 566/71, 906/43

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 644/69,566/71,906/43

Given fractions are 644/69,566/71,906/43

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 644,566,906

Greatest Common Factor of Numerators i.e. GCF of 644,566,906 is 2 .

LCM of Denominators means LCM of 69,71,43 as per the given fractions.

LCM of 69,71,43 is 210657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,566,906

GCF of Fractions 644/69,566/71,906/43 is 2/210657

2 644, 566, 906
322, 283, 453

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

Greatest Common Factor of 644,566,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,566,906 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 644,566,906 . The biggest common factor number is the GCF number.
So the greatest common factor 644,566,906 is 2.

Lets's calculate LCM of 69,71,43

Given numbers has no common factors except 1. So, there LCM is their product i.e 210657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210657

Therefore, the GCF of Fractions 644/69,566/71,906/43 is 2/210657

Least Common Multiple of 69,71,43 with GCF Formula

Least Common Multiple of 69,71,43 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 69,71,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,71,43) = 1

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

GCF(69,71,43) x common factors =1 x 1 = 1

LCM(69,71,43) = ( 69 × 71 × 43 ) / 1

LCM(69,71,43) = 210657 / 1

LCM(69,71,43) = 210657


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 644/69, 566/71, 906/43

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 644/69, 566/71, 906/43?

Answer: GCF of Numerators as per given numbers 644/69, 566/71, 906/43 is

GCF of Numerators i.e. for 644,566,906 is 2

LCM of denominators i.e. for 69,71,43 is 210657.

Thus, GCF of Fractions is 2/210657.Finally, GCF of Fractions for 644/69, 566/71, 906/43 is 2/210657.