Greatest Common Factor of 90/632, 729/277, 470/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/632, 729/277, 470/213

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 90/632,729/277,470/213

Given fractions are 90/632,729/277,470/213

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 90,729,470

Greatest Common Factor of Numerators i.e. GCF of 90,729,470 is 1 .

LCM of Denominators means LCM of 632,277,213 as per the given fractions.

LCM of 632,277,213 is 37288632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,729,470

GCF of Fractions 90/632,729/277,470/213 is 1/37288632

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

Greatest Common Factor of 90,729,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,729,470 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 90,729,470 . The biggest common factor number is the GCF number.
So the greatest common factor 90,729,470 is 1.

Lets's calculate LCM of 632,277,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 37288632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37288632

Therefore, the GCF of Fractions 90/632,729/277,470/213 is 1/37288632

Least Common Multiple of 632,277,213 with GCF Formula

Least Common Multiple of 632,277,213 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 632,277,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,277,213) = 1

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

GCF(632,277,213) x common factors =1 x 1 = 1

LCM(632,277,213) = ( 632 × 277 × 213 ) / 1

LCM(632,277,213) = 37288632 / 1

LCM(632,277,213) = 37288632


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 90/632, 729/277, 470/213

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 90/632, 729/277, 470/213?

Answer: GCF of Numerators as per given numbers 90/632, 729/277, 470/213 is

GCF of Numerators i.e. for 90,729,470 is 1

LCM of denominators i.e. for 632,277,213 is 37288632.

Thus, GCF of Fractions is 1/37288632.Finally, GCF of Fractions for 90/632, 729/277, 470/213 is 1/37288632.