Greatest Common Factor of 739/174, 561/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 739/174, 561/155

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 739/174,561/155

Given fractions are 739/174,561/155

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 739,561

Greatest Common Factor of Numerators i.e. GCF of 739,561 is 1 .

LCM of Denominators means LCM of 174,155 as per the given fractions.

LCM of 174,155 is 26970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 739,561

GCF of Fractions 739/174,561/155 is 1/26970

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

Greatest Common Factor of 739,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,561 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 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 739,561 . The biggest common factor number is the GCF number.
So the greatest common factor 739,561 is 1.

Lets's calculate LCM of 174,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 26970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26970

Therefore, the GCF of Fractions 739/174,561/155 is 1/26970

Least Common Multiple of 174,155 with GCF Formula

Least Common Multiple of 174,155 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 174,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,155) = 1

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

GCF(174,155) x common factors =1 x 1 = 1

LCM(174,155) = ( 174 × 155 ) / 1

LCM(174,155) = 26970 / 1

LCM(174,155) = 26970


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 739/174, 561/155

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 739/174, 561/155?

Answer: GCF of Numerators as per given numbers 739/174, 561/155 is

GCF of Numerators i.e. for 739,561 is 1

LCM of denominators i.e. for 174,155 is 26970.

Thus, GCF of Fractions is 1/26970.Finally, GCF of Fractions for 739/174, 561/155 is 1/26970.