Greatest Common Factor of 181/74, 149/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 181/74, 149/905

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 181/74,149/905

Given fractions are 181/74,149/905

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 181,149

Greatest Common Factor of Numerators i.e. GCF of 181,149 is 1 .

LCM of Denominators means LCM of 74,905 as per the given fractions.

LCM of 74,905 is 66970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 181,149

GCF of Fractions 181/74,149/905 is 1/66970

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

Greatest Common Factor of 181,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,149 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 181,149 . The biggest common factor number is the GCF number.
So the greatest common factor 181,149 is 1.

Lets's calculate LCM of 74,905

Given numbers has no common factors except 1. So, there LCM is their product i.e 66970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66970

Therefore, the GCF of Fractions 181/74,149/905 is 1/66970

Least Common Multiple of 74,905 with GCF Formula

Least Common Multiple of 74,905 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 74,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,905) = 1

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

GCF(74,905) x common factors =1 x 1 = 1

LCM(74,905) = ( 74 × 905 ) / 1

LCM(74,905) = 66970 / 1

LCM(74,905) = 66970


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 181/74, 149/905

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 181/74, 149/905?

Answer: GCF of Numerators as per given numbers 181/74, 149/905 is

GCF of Numerators i.e. for 181,149 is 1

LCM of denominators i.e. for 74,905 is 66970.

Thus, GCF of Fractions is 1/66970.Finally, GCF of Fractions for 181/74, 149/905 is 1/66970.