Greatest Common Factor of 257/63, 397/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 257/63, 397/390

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 257/63,397/390

Given fractions are 257/63,397/390

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 257,397

Greatest Common Factor of Numerators i.e. GCF of 257,397 is 1 .

LCM of Denominators means LCM of 63,390 as per the given fractions.

LCM of 63,390 is 8190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,397

GCF of Fractions 257/63,397/390 is 1/8190

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

Greatest Common Factor of 257,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,397 By Matching Biggest Common Factor Method

Factors of 257

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

1,257

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 257,397 . The biggest common factor number is the GCF number.
So the greatest common factor 257,397 is 1.


Lets's calculate LCM of 63,390

3 63, 390
21, 130

∴ So the LCM of the given numbers is 3 x 21 x 130 = 8190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8190

Therefore, the GCF of Fractions 257/63,397/390 is 1/8190

Least Common Multiple of 63,390 with GCF Formula

Least Common Multiple of 63,390 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 63,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,390) = 3

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

GCF(63,390) x common factors =3 x 1 = 3

LCM(63,390) = ( 63 × 390 ) / 3

LCM(63,390) = 24570 / 3

LCM(63,390) = 8190


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 257/63, 397/390

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 257/63, 397/390?

Answer: GCF of Numerators as per given numbers 257/63, 397/390 is

GCF of Numerators i.e. for 257,397 is 1

LCM of denominators i.e. for 63,390 is 8190.

Thus, GCF of Fractions is 1/8190.Finally, GCF of Fractions for 257/63, 397/390 is 1/8190.