Greatest Common Factor of 3577/51, 3198/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3577/51, 3198/146

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 3577/51,3198/146

Given fractions are 3577/51,3198/146

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 3577,3198

Greatest Common Factor of Numerators i.e. GCF of 3577,3198 is 1 .

LCM of Denominators means LCM of 51,146 as per the given fractions.

LCM of 51,146 is 7446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3577,3198

GCF of Fractions 3577/51,3198/146 is 1/7446

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

Greatest Common Factor of 3577,3198 By Matching Biggest Common Factor Method

Greatest Common Factor of 3577,3198 By Matching Biggest Common Factor Method

Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1,7,49,73,511,3577

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Greatest Common Factor

We found the factors 3577,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 3577,3198 is 1.

Lets's calculate LCM of 51,146

Given numbers has no common factors except 1. So, there LCM is their product i.e 7446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7446

Therefore, the GCF of Fractions 3577/51,3198/146 is 1/7446

Least Common Multiple of 51,146 with GCF Formula

Least Common Multiple of 51,146 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 51,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,146) = 1

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

GCF(51,146) x common factors =1 x 1 = 1

LCM(51,146) = ( 51 × 146 ) / 1

LCM(51,146) = 7446 / 1

LCM(51,146) = 7446


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 3577/51, 3198/146

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 3577/51, 3198/146?

Answer: GCF of Numerators as per given numbers 3577/51, 3198/146 is

GCF of Numerators i.e. for 3577,3198 is 1

LCM of denominators i.e. for 51,146 is 7446.

Thus, GCF of Fractions is 1/7446.Finally, GCF of Fractions for 3577/51, 3198/146 is 1/7446.