Greatest Common Factor of 739/23, 472/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 739/23, 472/474

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 739/23,472/474

Given fractions are 739/23,472/474

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 739,472

Greatest Common Factor of Numerators i.e. GCF of 739,472 is 1 .

LCM of Denominators means LCM of 23,474 as per the given fractions.

LCM of 23,474 is 10902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 739,472

GCF of Fractions 739/23,472/474 is 1/10902

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

Greatest Common Factor of 739,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,472 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 739,472 . The biggest common factor number is the GCF number.
So the greatest common factor 739,472 is 1.

Lets's calculate LCM of 23,474

Given numbers has no common factors except 1. So, there LCM is their product i.e 10902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10902

Therefore, the GCF of Fractions 739/23,472/474 is 1/10902

Least Common Multiple of 23,474 with GCF Formula

Least Common Multiple of 23,474 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 23,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,474) = 1

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

GCF(23,474) x common factors =1 x 1 = 1

LCM(23,474) = ( 23 × 474 ) / 1

LCM(23,474) = 10902 / 1

LCM(23,474) = 10902


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 739/23, 472/474

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 739/23, 472/474?

Answer: GCF of Numerators as per given numbers 739/23, 472/474 is

GCF of Numerators i.e. for 739,472 is 1

LCM of denominators i.e. for 23,474 is 10902.

Thus, GCF of Fractions is 1/10902.Finally, GCF of Fractions for 739/23, 472/474 is 1/10902.