Greatest Common Factor of 474/22, 740/75, 724/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 474/22, 740/75, 724/497

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 474/22,740/75,724/497

Given fractions are 474/22,740/75,724/497

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 474,740,724

Greatest Common Factor of Numerators i.e. GCF of 474,740,724 is 2 .

LCM of Denominators means LCM of 22,75,497 as per the given fractions.

LCM of 22,75,497 is 820050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 474,740,724

GCF of Fractions 474/22,740/75,724/497 is 2/820050

2 474, 740, 724
237, 370, 362

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 474,740,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,740,724 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

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

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 474,740,724 . The biggest common factor number is the GCF number.
So the greatest common factor 474,740,724 is 2.

Lets's calculate LCM of 22,75,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 820050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/820050

Therefore, the GCF of Fractions 474/22,740/75,724/497 is 2/820050

Least Common Multiple of 22,75,497 with GCF Formula

Least Common Multiple of 22,75,497 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 22,75,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,75,497) = 1

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

GCF(22,75,497) x common factors =1 x 1 = 1

LCM(22,75,497) = ( 22 × 75 × 497 ) / 1

LCM(22,75,497) = 820050 / 1

LCM(22,75,497) = 820050


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 474/22, 740/75, 724/497

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 474/22, 740/75, 724/497?

Answer: GCF of Numerators as per given numbers 474/22, 740/75, 724/497 is

GCF of Numerators i.e. for 474,740,724 is 2

LCM of denominators i.e. for 22,75,497 is 820050.

Thus, GCF of Fractions is 2/820050.Finally, GCF of Fractions for 474/22, 740/75, 724/497 is 2/820050.