Greatest Common Factor of 3507/57, 2781/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3507/57, 2781/197

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 3507/57,2781/197

Given fractions are 3507/57,2781/197

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 3507,2781

Greatest Common Factor of Numerators i.e. GCF of 3507,2781 is 3 .

LCM of Denominators means LCM of 57,197 as per the given fractions.

LCM of 57,197 is 11229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3507,2781

GCF of Fractions 3507/57,2781/197 is 3/11229

3 3507, 2781
1169, 927

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3507,2781 By Matching Biggest Common Factor Method

Greatest Common Factor of 3507,2781 By Matching Biggest Common Factor Method

Factors of 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1,3,7,21,167,501,1169,3507

Factors of 2781

List of positive integer factors of 2781 that divides 2781 without a remainder.

1,3,9,27,103,309,927,2781

Greatest Common Factor

We found the factors 3507,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 3507,2781 is 3.

Lets's calculate LCM of 57,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 11229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11229

Therefore, the GCF of Fractions 3507/57,2781/197 is 3/11229

Least Common Multiple of 57,197 with GCF Formula

Least Common Multiple of 57,197 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 57,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,197) = 1

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

GCF(57,197) x common factors =1 x 1 = 1

LCM(57,197) = ( 57 × 197 ) / 1

LCM(57,197) = 11229 / 1

LCM(57,197) = 11229


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 3507/57, 2781/197

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 3507/57, 2781/197?

Answer: GCF of Numerators as per given numbers 3507/57, 2781/197 is

GCF of Numerators i.e. for 3507,2781 is 3

LCM of denominators i.e. for 57,197 is 11229.

Thus, GCF of Fractions is 3/11229.Finally, GCF of Fractions for 3507/57, 2781/197 is 3/11229.