Greatest Common Factor of 148/67, 725/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/67, 725/973

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 148/67,725/973

Given fractions are 148/67,725/973

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 148,725

Greatest Common Factor of Numerators i.e. GCF of 148,725 is 1 .

LCM of Denominators means LCM of 67,973 as per the given fractions.

LCM of 67,973 is 65191 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,725

GCF of Fractions 148/67,725/973 is 1/65191

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

Greatest Common Factor of 148,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,725 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 725

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

1,5,25,29,145,725

Greatest Common Factor

We found the factors 148,725 . The biggest common factor number is the GCF number.
So the greatest common factor 148,725 is 1.

Lets's calculate LCM of 67,973

Given numbers has no common factors except 1. So, there LCM is their product i.e 65191

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65191

Therefore, the GCF of Fractions 148/67,725/973 is 1/65191

Least Common Multiple of 67,973 with GCF Formula

Least Common Multiple of 67,973 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 67,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,973) = 1

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

GCF(67,973) x common factors =1 x 1 = 1

LCM(67,973) = ( 67 × 973 ) / 1

LCM(67,973) = 65191 / 1

LCM(67,973) = 65191


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 148/67, 725/973

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 148/67, 725/973?

Answer: GCF of Numerators as per given numbers 148/67, 725/973 is

GCF of Numerators i.e. for 148,725 is 1

LCM of denominators i.e. for 67,973 is 65191.

Thus, GCF of Fractions is 1/65191.Finally, GCF of Fractions for 148/67, 725/973 is 1/65191.