Greatest Common Factor of 1831/74, 7974/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1831/74, 7974/599

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 1831/74,7974/599

Given fractions are 1831/74,7974/599

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 1831,7974

Greatest Common Factor of Numerators i.e. GCF of 1831,7974 is 1 .

LCM of Denominators means LCM of 74,599 as per the given fractions.

LCM of 74,599 is 44326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1831,7974

GCF of Fractions 1831/74,7974/599 is 1/44326

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

Greatest Common Factor of 1831,7974 By Matching Biggest Common Factor Method

Greatest Common Factor of 1831,7974 By Matching Biggest Common Factor Method

Factors of 1831

List of positive integer factors of 1831 that divides 1831 without a remainder.

1,1831

Factors of 7974

List of positive integer factors of 7974 that divides 7974 without a remainder.

1,2,3,6,9,18,443,886,1329,2658,3987,7974

Greatest Common Factor

We found the factors 1831,7974 . The biggest common factor number is the GCF number.
So the greatest common factor 1831,7974 is 1.

Lets's calculate LCM of 74,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 44326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44326

Therefore, the GCF of Fractions 1831/74,7974/599 is 1/44326

Least Common Multiple of 74,599 with GCF Formula

Least Common Multiple of 74,599 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 74,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,599) = 1

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

GCF(74,599) x common factors =1 x 1 = 1

LCM(74,599) = ( 74 × 599 ) / 1

LCM(74,599) = 44326 / 1

LCM(74,599) = 44326


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 1831/74, 7974/599

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 1831/74, 7974/599?

Answer: GCF of Numerators as per given numbers 1831/74, 7974/599 is

GCF of Numerators i.e. for 1831,7974 is 1

LCM of denominators i.e. for 74,599 is 44326.

Thus, GCF of Fractions is 1/44326.Finally, GCF of Fractions for 1831/74, 7974/599 is 1/44326.