Greatest Common Factor of 257/695, 2604/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 257/695, 2604/420

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 257/695,2604/420

Given fractions are 257/695,2604/420

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 257,2604

Greatest Common Factor of Numerators i.e. GCF of 257,2604 is 1 .

LCM of Denominators means LCM of 695,420 as per the given fractions.

LCM of 695,420 is 58380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 257,2604

GCF of Fractions 257/695,2604/420 is 1/58380

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

Greatest Common Factor of 257,2604 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,2604 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 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604

Greatest Common Factor

We found the factors 257,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 257,2604 is 1.

Lets's calculate LCM of 695,420

5 695, 420
139, 84

∴ So the LCM of the given numbers is 5 x 139 x 84 = 58380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58380

Therefore, the GCF of Fractions 257/695,2604/420 is 1/58380

Least Common Multiple of 695,420 with GCF Formula

Least Common Multiple of 695,420 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 695,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,420) = 5

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

GCF(695,420) x common factors =5 x 1 = 5

LCM(695,420) = ( 695 × 420 ) / 5

LCM(695,420) = 291900 / 5

LCM(695,420) = 58380


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 257/695, 2604/420

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 257/695, 2604/420?

Answer: GCF of Numerators as per given numbers 257/695, 2604/420 is

GCF of Numerators i.e. for 257,2604 is 1

LCM of denominators i.e. for 695,420 is 58380.

Thus, GCF of Fractions is 1/58380.Finally, GCF of Fractions for 257/695, 2604/420 is 1/58380.