Greatest Common Factor of 258/167, 941/775, 141/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 258/167, 941/775, 141/274

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 258/167,941/775,141/274

Given fractions are 258/167,941/775,141/274

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 258,941,141

Greatest Common Factor of Numerators i.e. GCF of 258,941,141 is 1 .

LCM of Denominators means LCM of 167,775,274 as per the given fractions.

LCM of 167,775,274 is 35462450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 258,941,141

GCF of Fractions 258/167,941/775,141/274 is 1/35462450

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

Greatest Common Factor of 258,941,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,941,141 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 258,941,141 . The biggest common factor number is the GCF number.
So the greatest common factor 258,941,141 is 1.

Lets's calculate LCM of 167,775,274

Given numbers has no common factors except 1. So, there LCM is their product i.e 35462450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35462450

Therefore, the GCF of Fractions 258/167,941/775,141/274 is 1/35462450

Least Common Multiple of 167,775,274 with GCF Formula

Least Common Multiple of 167,775,274 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 167,775,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,775,274) = 1

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

GCF(167,775,274) x common factors =1 x 1 = 1

LCM(167,775,274) = ( 167 × 775 × 274 ) / 1

LCM(167,775,274) = 35462450 / 1

LCM(167,775,274) = 35462450


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 258/167, 941/775, 141/274

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 258/167, 941/775, 141/274?

Answer: GCF of Numerators as per given numbers 258/167, 941/775, 141/274 is

GCF of Numerators i.e. for 258,941,141 is 1

LCM of denominators i.e. for 167,775,274 is 35462450.

Thus, GCF of Fractions is 1/35462450.Finally, GCF of Fractions for 258/167, 941/775, 141/274 is 1/35462450.