Greatest Common Factor of 72/770, 4590/5771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/770, 4590/5771

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 72/770,4590/5771

Given fractions are 72/770,4590/5771

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 72,4590

Greatest Common Factor of Numerators i.e. GCF of 72,4590 is 18 .

LCM of Denominators means LCM of 770,5771 as per the given fractions.

LCM of 770,5771 is 4443670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,4590

GCF of Fractions 72/770,4590/5771 is 18/4443670

2 72, 4590
3 36, 2295
3 12, 765
4, 255

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 72,4590 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,4590 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 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590

Greatest Common Factor

We found the factors 72,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 72,4590 is 18.

Lets's calculate LCM of 770,5771

Given numbers has no common factors except 1. So, there LCM is their product i.e 4443670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/4443670

Therefore, the GCF of Fractions 72/770,4590/5771 is 18/4443670

Least Common Multiple of 770,5771 with GCF Formula

Least Common Multiple of 770,5771 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 770,5771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,5771) = 1

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

GCF(770,5771) x common factors =1 x 1 = 1

LCM(770,5771) = ( 770 × 5771 ) / 1

LCM(770,5771) = 4443670 / 1

LCM(770,5771) = 4443670


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 72/770, 4590/5771

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 72/770, 4590/5771?

Answer: GCF of Numerators as per given numbers 72/770, 4590/5771 is

GCF of Numerators i.e. for 72,4590 is 18

LCM of denominators i.e. for 770,5771 is 4443670.

Thus, GCF of Fractions is 18/4443670.Finally, GCF of Fractions for 72/770, 4590/5771 is 18/4443670.