Greatest Common Factor of 207/89, 7749/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/89, 7749/516

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 207/89,7749/516

Given fractions are 207/89,7749/516

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 207,7749

Greatest Common Factor of Numerators i.e. GCF of 207,7749 is 9 .

LCM of Denominators means LCM of 89,516 as per the given fractions.

LCM of 89,516 is 45924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,7749

GCF of Fractions 207/89,7749/516 is 9/45924

3 207, 7749
3 69, 2583
23, 861

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 207,7749 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,7749 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 7749

List of positive integer factors of 7749 that divides 7749 without a remainder.

1,3,7,9,21,27,41,63,123,189,287,369,861,1107,2583,7749

Greatest Common Factor

We found the factors 207,7749 . The biggest common factor number is the GCF number.
So the greatest common factor 207,7749 is 9.

Lets's calculate LCM of 89,516

Given numbers has no common factors except 1. So, there LCM is their product i.e 45924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/45924

Therefore, the GCF of Fractions 207/89,7749/516 is 9/45924

Least Common Multiple of 89,516 with GCF Formula

Least Common Multiple of 89,516 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 89,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,516) = 1

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

GCF(89,516) x common factors =1 x 1 = 1

LCM(89,516) = ( 89 × 516 ) / 1

LCM(89,516) = 45924 / 1

LCM(89,516) = 45924


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 207/89, 7749/516

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 207/89, 7749/516?

Answer: GCF of Numerators as per given numbers 207/89, 7749/516 is

GCF of Numerators i.e. for 207,7749 is 9

LCM of denominators i.e. for 89,516 is 45924.

Thus, GCF of Fractions is 9/45924.Finally, GCF of Fractions for 207/89, 7749/516 is 9/45924.