Greatest Common Factor of 7973/734, 4537/1738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7973/734, 4537/1738

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 7973/734,4537/1738

Given fractions are 7973/734,4537/1738

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 7973,4537

Greatest Common Factor of Numerators i.e. GCF of 7973,4537 is 1 .

LCM of Denominators means LCM of 734,1738 as per the given fractions.

LCM of 734,1738 is 637846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7973,4537

GCF of Fractions 7973/734,4537/1738 is 1/637846

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

Greatest Common Factor of 7973,4537 By Matching Biggest Common Factor Method

Greatest Common Factor of 7973,4537 By Matching Biggest Common Factor Method

Factors of 7973

List of positive integer factors of 7973 that divides 7973 without a remainder.

1,7,17,67,119,469,1139,7973

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1,13,349,4537

Greatest Common Factor

We found the factors 7973,4537 . The biggest common factor number is the GCF number.
So the greatest common factor 7973,4537 is 1.

Lets's calculate LCM of 734,1738

2 734, 1738
367, 869

∴ So the LCM of the given numbers is 2 x 367 x 869 = 637846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637846

Therefore, the GCF of Fractions 7973/734,4537/1738 is 1/637846

Least Common Multiple of 734,1738 with GCF Formula

Least Common Multiple of 734,1738 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 734,1738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,1738) = 2

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

GCF(734,1738) x common factors =2 x 1 = 2

LCM(734,1738) = ( 734 × 1738 ) / 2

LCM(734,1738) = 1275692 / 2

LCM(734,1738) = 637846


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 7973/734, 4537/1738

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 7973/734, 4537/1738?

Answer: GCF of Numerators as per given numbers 7973/734, 4537/1738 is

GCF of Numerators i.e. for 7973,4537 is 1

LCM of denominators i.e. for 734,1738 is 637846.

Thus, GCF of Fractions is 1/637846.Finally, GCF of Fractions for 7973/734, 4537/1738 is 1/637846.