Greatest Common Factor of 240/70, 680/40, 257/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 240/70, 680/40, 257/598

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 240/70,680/40,257/598

Given fractions are 240/70,680/40,257/598

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 240,680,257

Greatest Common Factor of Numerators i.e. GCF of 240,680,257 is 1 .

LCM of Denominators means LCM of 70,40,598 as per the given fractions.

LCM of 70,40,598 is 83720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 240,680,257

GCF of Fractions 240/70,680/40,257/598 is 1/83720

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

Greatest Common Factor of 240,680,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,680,257 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

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 240,680,257 . The biggest common factor number is the GCF number.
So the greatest common factor 240,680,257 is 1.

Lets's calculate LCM of 70,40,598

2 70, 40, 598
5 35, 20, 299
7, 4, 299

∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 299 = 83720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83720

Therefore, the GCF of Fractions 240/70,680/40,257/598 is 1/83720

Least Common Multiple of 70,40,598 with GCF Formula

Least Common Multiple of 70,40,598 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 70,40,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,40,598) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(70,40,598) x common factors =2 x 10 = 20

LCM(70,40,598) = ( 70 × 40 × 598 ) / 20

LCM(70,40,598) = 1674400 / 20

LCM(70,40,598) = 83720


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 240/70, 680/40, 257/598

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 240/70, 680/40, 257/598?

Answer: GCF of Numerators as per given numbers 240/70, 680/40, 257/598 is

GCF of Numerators i.e. for 240,680,257 is 1

LCM of denominators i.e. for 70,40,598 is 83720.

Thus, GCF of Fractions is 1/83720.Finally, GCF of Fractions for 240/70, 680/40, 257/598 is 1/83720.