Greatest Common Factor of 654/622, 206/645, 682/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/622, 206/645, 682/141

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 654/622,206/645,682/141

Given fractions are 654/622,206/645,682/141

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 654,206,682

Greatest Common Factor of Numerators i.e. GCF of 654,206,682 is 2 .

LCM of Denominators means LCM of 622,645,141 as per the given fractions.

LCM of 622,645,141 is 18855930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,206,682

GCF of Fractions 654/622,206/645,682/141 is 2/18855930

2 654, 206, 682
327, 103, 341

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

Greatest Common Factor of 654,206,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,206,682 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 654,206,682 . The biggest common factor number is the GCF number.
So the greatest common factor 654,206,682 is 2.

Lets's calculate LCM of 622,645,141

3 622, 645, 141
622, 215, 47

∴ So the LCM of the given numbers is 3 x 622 x 215 x 47 = 18855930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18855930

Therefore, the GCF of Fractions 654/622,206/645,682/141 is 2/18855930

Least Common Multiple of 622,645,141 with GCF Formula

Least Common Multiple of 622,645,141 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 622,645,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,645,141) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(622,645,141) x common factors =1 x 3 = 3

LCM(622,645,141) = ( 622 × 645 × 141 ) / 3

LCM(622,645,141) = 56567790 / 3

LCM(622,645,141) = 18855930


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 654/622, 206/645, 682/141

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 654/622, 206/645, 682/141?

Answer: GCF of Numerators as per given numbers 654/622, 206/645, 682/141 is

GCF of Numerators i.e. for 654,206,682 is 2

LCM of denominators i.e. for 622,645,141 is 18855930.

Thus, GCF of Fractions is 2/18855930.Finally, GCF of Fractions for 654/622, 206/645, 682/141 is 2/18855930.