Greatest Common Factor of 6938/32, 3440/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6938/32, 3440/225

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 6938/32,3440/225

Given fractions are 6938/32,3440/225

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 6938,3440

Greatest Common Factor of Numerators i.e. GCF of 6938,3440 is 2 .

LCM of Denominators means LCM of 32,225 as per the given fractions.

LCM of 32,225 is 7200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6938,3440

GCF of Fractions 6938/32,3440/225 is 2/7200

2 6938, 3440
3469, 1720

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6938,3440 By Matching Biggest Common Factor Method

Greatest Common Factor of 6938,3440 By Matching Biggest Common Factor Method

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1,2,3469,6938

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Greatest Common Factor

We found the factors 6938,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 6938,3440 is 2.

Lets's calculate LCM of 32,225

Given numbers has no common factors except 1. So, there LCM is their product i.e 7200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7200

Therefore, the GCF of Fractions 6938/32,3440/225 is 2/7200

Least Common Multiple of 32,225 with GCF Formula

Least Common Multiple of 32,225 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 32,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,225) = 1

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

GCF(32,225) x common factors =1 x 1 = 1

LCM(32,225) = ( 32 × 225 ) / 1

LCM(32,225) = 7200 / 1

LCM(32,225) = 7200


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 6938/32, 3440/225

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 6938/32, 3440/225?

Answer: GCF of Numerators as per given numbers 6938/32, 3440/225 is

GCF of Numerators i.e. for 6938,3440 is 2

LCM of denominators i.e. for 32,225 is 7200.

Thus, GCF of Fractions is 2/7200.Finally, GCF of Fractions for 6938/32, 3440/225 is 2/7200.