Greatest Common Factor of 2289/27, 3052/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2289/27, 3052/463

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 2289/27,3052/463

Given fractions are 2289/27,3052/463

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 2289,3052

Greatest Common Factor of Numerators i.e. GCF of 2289,3052 is 763 .

LCM of Denominators means LCM of 27,463 as per the given fractions.

LCM of 27,463 is 12501 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2289,3052

GCF of Fractions 2289/27,3052/463 is 763/12501

7 2289, 3052
109 327, 436
3, 4

∴ So the GCF of the given numbers is 7 x 109 = 763

Greatest Common Factor of 2289,3052 By Matching Biggest Common Factor Method

Greatest Common Factor of 2289,3052 By Matching Biggest Common Factor Method

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

Factors of 3052

List of positive integer factors of 3052 that divides 3052 without a remainder.

1,2,4,7,14,28,109,218,436,763,1526,3052

Greatest Common Factor

We found the factors 2289,3052 . The biggest common factor number is the GCF number.
So the greatest common factor 2289,3052 is 763.

Lets's calculate LCM of 27,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 12501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 763/12501

Therefore, the GCF of Fractions 2289/27,3052/463 is 763/12501

Least Common Multiple of 27,463 with GCF Formula

Least Common Multiple of 27,463 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 27,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,463) = 1

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

GCF(27,463) x common factors =1 x 1 = 1

LCM(27,463) = ( 27 × 463 ) / 1

LCM(27,463) = 12501 / 1

LCM(27,463) = 12501


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 2289/27, 3052/463

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 2289/27, 3052/463?

Answer: GCF of Numerators as per given numbers 2289/27, 3052/463 is

GCF of Numerators i.e. for 2289,3052 is 763

LCM of denominators i.e. for 27,463 is 12501.

Thus, GCF of Fractions is 763/12501.Finally, GCF of Fractions for 2289/27, 3052/463 is 763/12501.