Greatest Common Factor of 6/645, 54/821, 45/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/645, 54/821, 45/688

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 6/645,54/821,45/688

Given fractions are 6/645,54/821,45/688

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 6,54,45

Greatest Common Factor of Numerators i.e. GCF of 6,54,45 is 3 .

LCM of Denominators means LCM of 645,821,688 as per the given fractions.

LCM of 645,821,688 is 8472720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,54,45

GCF of Fractions 6/645,54/821,45/688 is 3/8472720

3 6, 54, 45
2, 18, 15

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

Greatest Common Factor of 6,54,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,54,45 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 6,54,45 . The biggest common factor number is the GCF number.
So the greatest common factor 6,54,45 is 3.

Lets's calculate LCM of 645,821,688

43 645, 821, 688
15, 821, 16

∴ So the LCM of the given numbers is 43 x 15 x 821 x 16 = 8472720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8472720

Therefore, the GCF of Fractions 6/645,54/821,45/688 is 3/8472720

Least Common Multiple of 645,821,688 with GCF Formula

Least Common Multiple of 645,821,688 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 645,821,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(645,821,688) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(645,821,688) x common factors =1 x 43 = 43

LCM(645,821,688) = ( 645 × 821 × 688 ) / 43

LCM(645,821,688) = 364326960 / 43

LCM(645,821,688) = 8472720


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 6/645, 54/821, 45/688

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 6/645, 54/821, 45/688?

Answer: GCF of Numerators as per given numbers 6/645, 54/821, 45/688 is

GCF of Numerators i.e. for 6,54,45 is 3

LCM of denominators i.e. for 645,821,688 is 8472720.

Thus, GCF of Fractions is 3/8472720.Finally, GCF of Fractions for 6/645, 54/821, 45/688 is 3/8472720.