Greatest Common Factor of 63/81, 570/33, 975/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/81, 570/33, 975/688

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 63/81,570/33,975/688

Given fractions are 63/81,570/33,975/688

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 63,570,975

Greatest Common Factor of Numerators i.e. GCF of 63,570,975 is 3 .

LCM of Denominators means LCM of 81,33,688 as per the given fractions.

LCM of 81,33,688 is 613008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,570,975

GCF of Fractions 63/81,570/33,975/688 is 3/613008

3 63, 570, 975
21, 190, 325

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

Greatest Common Factor of 63,570,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,570,975 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 63,570,975 . The biggest common factor number is the GCF number.
So the greatest common factor 63,570,975 is 3.

Lets's calculate LCM of 81,33,688

3 81, 33, 688
27, 11, 688

∴ So the LCM of the given numbers is 3 x 27 x 11 x 688 = 613008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/613008

Therefore, the GCF of Fractions 63/81,570/33,975/688 is 3/613008

Least Common Multiple of 81,33,688 with GCF Formula

Least Common Multiple of 81,33,688 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 81,33,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,33,688) = 1

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

GCF(81,33,688) x common factors =1 x 3 = 3

LCM(81,33,688) = ( 81 × 33 × 688 ) / 3

LCM(81,33,688) = 1839024 / 3

LCM(81,33,688) = 613008


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 63/81, 570/33, 975/688

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 63/81, 570/33, 975/688?

Answer: GCF of Numerators as per given numbers 63/81, 570/33, 975/688 is

GCF of Numerators i.e. for 63,570,975 is 3

LCM of denominators i.e. for 81,33,688 is 613008.

Thus, GCF of Fractions is 3/613008.Finally, GCF of Fractions for 63/81, 570/33, 975/688 is 3/613008.