Greatest Common Factor of 725/164, 1318/4586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/164, 1318/4586

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 725/164,1318/4586

Given fractions are 725/164,1318/4586

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 725,1318

Greatest Common Factor of Numerators i.e. GCF of 725,1318 is 1 .

LCM of Denominators means LCM of 164,4586 as per the given fractions.

LCM of 164,4586 is 376052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,1318

GCF of Fractions 725/164,1318/4586 is 1/376052

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

Greatest Common Factor of 725,1318 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,1318 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 1318

List of positive integer factors of 1318 that divides 1318 without a remainder.

1,2,659,1318

Greatest Common Factor

We found the factors 725,1318 . The biggest common factor number is the GCF number.
So the greatest common factor 725,1318 is 1.

Lets's calculate LCM of 164,4586

2 164, 4586
82, 2293

∴ So the LCM of the given numbers is 2 x 82 x 2293 = 376052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376052

Therefore, the GCF of Fractions 725/164,1318/4586 is 1/376052

Least Common Multiple of 164,4586 with GCF Formula

Least Common Multiple of 164,4586 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 164,4586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,4586) = 2

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

GCF(164,4586) x common factors =2 x 1 = 2

LCM(164,4586) = ( 164 × 4586 ) / 2

LCM(164,4586) = 752104 / 2

LCM(164,4586) = 376052


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 725/164, 1318/4586

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 725/164, 1318/4586?

Answer: GCF of Numerators as per given numbers 725/164, 1318/4586 is

GCF of Numerators i.e. for 725,1318 is 1

LCM of denominators i.e. for 164,4586 is 376052.

Thus, GCF of Fractions is 1/376052.Finally, GCF of Fractions for 725/164, 1318/4586 is 1/376052.