Greatest Common Factor of 200/750, 6940/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 200/750, 6940/257

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 200/750,6940/257

Given fractions are 200/750,6940/257

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 200,6940

Greatest Common Factor of Numerators i.e. GCF of 200,6940 is 20 .

LCM of Denominators means LCM of 750,257 as per the given fractions.

LCM of 750,257 is 192750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 200,6940

GCF of Fractions 200/750,6940/257 is 20/192750

2 200, 6940
2 100, 3470
5 50, 1735
10, 347

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 200,6940 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,6940 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1,2,4,5,10,20,347,694,1388,1735,3470,6940

Greatest Common Factor

We found the factors 200,6940 . The biggest common factor number is the GCF number.
So the greatest common factor 200,6940 is 20.

Lets's calculate LCM of 750,257

Given numbers has no common factors except 1. So, there LCM is their product i.e 192750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/192750

Therefore, the GCF of Fractions 200/750,6940/257 is 20/192750

Least Common Multiple of 750,257 with GCF Formula

Least Common Multiple of 750,257 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 750,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,257) = 1

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

GCF(750,257) x common factors =1 x 1 = 1

LCM(750,257) = ( 750 × 257 ) / 1

LCM(750,257) = 192750 / 1

LCM(750,257) = 192750


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 200/750, 6940/257

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 200/750, 6940/257?

Answer: GCF of Numerators as per given numbers 200/750, 6940/257 is

GCF of Numerators i.e. for 200,6940 is 20

LCM of denominators i.e. for 750,257 is 192750.

Thus, GCF of Fractions is 20/192750.Finally, GCF of Fractions for 200/750, 6940/257 is 20/192750.