Greatest Common Factor of 149/91, 155/67, 861/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/91, 155/67, 861/192

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 149/91,155/67,861/192

Given fractions are 149/91,155/67,861/192

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 149,155,861

Greatest Common Factor of Numerators i.e. GCF of 149,155,861 is 1 .

LCM of Denominators means LCM of 91,67,192 as per the given fractions.

LCM of 91,67,192 is 1170624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,155,861

GCF of Fractions 149/91,155/67,861/192 is 1/1170624

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

Greatest Common Factor of 149,155,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,155,861 By Matching Biggest Common Factor Method

Factors of 149

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

1,149

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 149,155,861 . The biggest common factor number is the GCF number.
So the greatest common factor 149,155,861 is 1.

Lets's calculate LCM of 91,67,192

Given numbers has no common factors except 1. So, there LCM is their product i.e 1170624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1170624

Therefore, the GCF of Fractions 149/91,155/67,861/192 is 1/1170624

Least Common Multiple of 91,67,192 with GCF Formula

Least Common Multiple of 91,67,192 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 91,67,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,67,192) = 1

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

GCF(91,67,192) x common factors =1 x 1 = 1

LCM(91,67,192) = ( 91 × 67 × 192 ) / 1

LCM(91,67,192) = 1170624 / 1

LCM(91,67,192) = 1170624


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 149/91, 155/67, 861/192

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 149/91, 155/67, 861/192?

Answer: GCF of Numerators as per given numbers 149/91, 155/67, 861/192 is

GCF of Numerators i.e. for 149,155,861 is 1

LCM of denominators i.e. for 91,67,192 is 1170624.

Thus, GCF of Fractions is 1/1170624.Finally, GCF of Fractions for 149/91, 155/67, 861/192 is 1/1170624.