Greatest Common Factor of 2028/216, 2365/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2028/216, 2365/197

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 2028/216,2365/197

Given fractions are 2028/216,2365/197

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 2028,2365

Greatest Common Factor of Numerators i.e. GCF of 2028,2365 is 1 .

LCM of Denominators means LCM of 216,197 as per the given fractions.

LCM of 216,197 is 42552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2028,2365

GCF of Fractions 2028/216,2365/197 is 1/42552

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

Greatest Common Factor of 2028,2365 By Matching Biggest Common Factor Method

Greatest Common Factor of 2028,2365 By Matching Biggest Common Factor Method

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156,169,338,507,676,1014,2028

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors 2028,2365 . The biggest common factor number is the GCF number.
So the greatest common factor 2028,2365 is 1.

Lets's calculate LCM of 216,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 42552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42552

Therefore, the GCF of Fractions 2028/216,2365/197 is 1/42552

Least Common Multiple of 216,197 with GCF Formula

Least Common Multiple of 216,197 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 216,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,197) = 1

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

GCF(216,197) x common factors =1 x 1 = 1

LCM(216,197) = ( 216 × 197 ) / 1

LCM(216,197) = 42552 / 1

LCM(216,197) = 42552


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 2028/216, 2365/197

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 2028/216, 2365/197?

Answer: GCF of Numerators as per given numbers 2028/216, 2365/197 is

GCF of Numerators i.e. for 2028,2365 is 1

LCM of denominators i.e. for 216,197 is 42552.

Thus, GCF of Fractions is 1/42552.Finally, GCF of Fractions for 2028/216, 2365/197 is 1/42552.