Greatest Common Factor of 3660/197, 7100/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3660/197, 7100/172

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 3660/197,7100/172

Given fractions are 3660/197,7100/172

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 3660,7100

Greatest Common Factor of Numerators i.e. GCF of 3660,7100 is 20 .

LCM of Denominators means LCM of 197,172 as per the given fractions.

LCM of 197,172 is 33884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3660,7100

GCF of Fractions 3660/197,7100/172 is 20/33884

2 3660, 7100
2 1830, 3550
5 915, 1775
183, 355

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

Greatest Common Factor of 3660,7100 By Matching Biggest Common Factor Method

Greatest Common Factor of 3660,7100 By Matching Biggest Common Factor Method

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Factors of 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100

Greatest Common Factor

We found the factors 3660,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 3660,7100 is 20.

Lets's calculate LCM of 197,172

Given numbers has no common factors except 1. So, there LCM is their product i.e 33884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/33884

Therefore, the GCF of Fractions 3660/197,7100/172 is 20/33884

Least Common Multiple of 197,172 with GCF Formula

Least Common Multiple of 197,172 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 197,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,172) = 1

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

GCF(197,172) x common factors =1 x 1 = 1

LCM(197,172) = ( 197 × 172 ) / 1

LCM(197,172) = 33884 / 1

LCM(197,172) = 33884


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 3660/197, 7100/172

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 3660/197, 7100/172?

Answer: GCF of Numerators as per given numbers 3660/197, 7100/172 is

GCF of Numerators i.e. for 3660,7100 is 20

LCM of denominators i.e. for 197,172 is 33884.

Thus, GCF of Fractions is 20/33884.Finally, GCF of Fractions for 3660/197, 7100/172 is 20/33884.