Greatest Common Factor of 331/105, 257/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 331/105, 257/467

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 331/105,257/467

Given fractions are 331/105,257/467

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 331,257

Greatest Common Factor of Numerators i.e. GCF of 331,257 is 1 .

LCM of Denominators means LCM of 105,467 as per the given fractions.

LCM of 105,467 is 49035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 331,257

GCF of Fractions 331/105,257/467 is 1/49035

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

Greatest Common Factor of 331,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,257 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 331,257 . The biggest common factor number is the GCF number.
So the greatest common factor 331,257 is 1.

Lets's calculate LCM of 105,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 49035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49035

Therefore, the GCF of Fractions 331/105,257/467 is 1/49035

Least Common Multiple of 105,467 with GCF Formula

Least Common Multiple of 105,467 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 105,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,467) = 1

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

GCF(105,467) x common factors =1 x 1 = 1

LCM(105,467) = ( 105 × 467 ) / 1

LCM(105,467) = 49035 / 1

LCM(105,467) = 49035


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 331/105, 257/467

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 331/105, 257/467?

Answer: GCF of Numerators as per given numbers 331/105, 257/467 is

GCF of Numerators i.e. for 331,257 is 1

LCM of denominators i.e. for 105,467 is 49035.

Thus, GCF of Fractions is 1/49035.Finally, GCF of Fractions for 331/105, 257/467 is 1/49035.