Greatest Common Factor of 72/63, 370/80, 475/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/63, 370/80, 475/546

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 72/63,370/80,475/546

Given fractions are 72/63,370/80,475/546

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 72,370,475

Greatest Common Factor of Numerators i.e. GCF of 72,370,475 is 1 .

LCM of Denominators means LCM of 63,80,546 as per the given fractions.

LCM of 63,80,546 is 65520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,370,475

GCF of Fractions 72/63,370/80,475/546 is 1/65520

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 72,370,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,370,475 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 72,370,475 . The biggest common factor number is the GCF number.
So the greatest common factor 72,370,475 is 1.

Lets's calculate LCM of 63,80,546

2 63, 80, 546
3 63, 40, 273
7 21, 40, 91
3, 40, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 40 x 13 = 65520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65520

Therefore, the GCF of Fractions 72/63,370/80,475/546 is 1/65520

Least Common Multiple of 63,80,546 with GCF Formula

Least Common Multiple of 63,80,546 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 63,80,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,80,546) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(63,80,546) x common factors =1 x 42 = 42

LCM(63,80,546) = ( 63 × 80 × 546 ) / 42

LCM(63,80,546) = 2751840 / 42

LCM(63,80,546) = 65520


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 72/63, 370/80, 475/546

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 72/63, 370/80, 475/546?

Answer: GCF of Numerators as per given numbers 72/63, 370/80, 475/546 is

GCF of Numerators i.e. for 72,370,475 is 1

LCM of denominators i.e. for 63,80,546 is 65520.

Thus, GCF of Fractions is 1/65520.Finally, GCF of Fractions for 72/63, 370/80, 475/546 is 1/65520.