Greatest Common Factor of 207/994, 990/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 207/994, 990/771

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 207/994,990/771

Given fractions are 207/994,990/771

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 207,990

Greatest Common Factor of Numerators i.e. GCF of 207,990 is 9 .

LCM of Denominators means LCM of 994,771 as per the given fractions.

LCM of 994,771 is 766374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 207,990

GCF of Fractions 207/994,990/771 is 9/766374

3 207, 990
3 69, 330
23, 110

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

Greatest Common Factor of 207,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,990 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 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 207,990 . The biggest common factor number is the GCF number.
So the greatest common factor 207,990 is 9.

Lets's calculate LCM of 994,771

Given numbers has no common factors except 1. So, there LCM is their product i.e 766374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/766374

Therefore, the GCF of Fractions 207/994,990/771 is 9/766374

Least Common Multiple of 994,771 with GCF Formula

Least Common Multiple of 994,771 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 994,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,771) = 1

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

GCF(994,771) x common factors =1 x 1 = 1

LCM(994,771) = ( 994 × 771 ) / 1

LCM(994,771) = 766374 / 1

LCM(994,771) = 766374


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 207/994, 990/771

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 207/994, 990/771?

Answer: GCF of Numerators as per given numbers 207/994, 990/771 is

GCF of Numerators i.e. for 207,990 is 9

LCM of denominators i.e. for 994,771 is 766374.

Thus, GCF of Fractions is 9/766374.Finally, GCF of Fractions for 207/994, 990/771 is 9/766374.