Greatest Common Factor of 420/72, 740/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/72, 740/523

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 420/72,740/523

Given fractions are 420/72,740/523

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 420,740

Greatest Common Factor of Numerators i.e. GCF of 420,740 is 20 .

LCM of Denominators means LCM of 72,523 as per the given fractions.

LCM of 72,523 is 37656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,740

GCF of Fractions 420/72,740/523 is 20/37656

2 420, 740
2 210, 370
5 105, 185
21, 37

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 420,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,740 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 420,740 . The biggest common factor number is the GCF number.
So the greatest common factor 420,740 is 20.

Lets's calculate LCM of 72,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 37656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/37656

Therefore, the GCF of Fractions 420/72,740/523 is 20/37656

Least Common Multiple of 72,523 with GCF Formula

Least Common Multiple of 72,523 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 72,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,523) = 1

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

GCF(72,523) x common factors =1 x 1 = 1

LCM(72,523) = ( 72 × 523 ) / 1

LCM(72,523) = 37656 / 1

LCM(72,523) = 37656


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 420/72, 740/523

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 420/72, 740/523?

Answer: GCF of Numerators as per given numbers 420/72, 740/523 is

GCF of Numerators i.e. for 420,740 is 20

LCM of denominators i.e. for 72,523 is 37656.

Thus, GCF of Fractions is 20/37656.Finally, GCF of Fractions for 420/72, 740/523 is 20/37656.