Greatest Common Factor of 2559/361, 2757/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2559/361, 2757/463

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 2559/361,2757/463

Given fractions are 2559/361,2757/463

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 2559,2757

Greatest Common Factor of Numerators i.e. GCF of 2559,2757 is 3 .

LCM of Denominators means LCM of 361,463 as per the given fractions.

LCM of 361,463 is 167143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2559,2757

GCF of Fractions 2559/361,2757/463 is 3/167143

3 2559, 2757
853, 919

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

Greatest Common Factor of 2559,2757 By Matching Biggest Common Factor Method

Greatest Common Factor of 2559,2757 By Matching Biggest Common Factor Method

Factors of 2559

List of positive integer factors of 2559 that divides 2559 without a remainder.

1,3,853,2559

Factors of 2757

List of positive integer factors of 2757 that divides 2757 without a remainder.

1,3,919,2757

Greatest Common Factor

We found the factors 2559,2757 . The biggest common factor number is the GCF number.
So the greatest common factor 2559,2757 is 3.

Lets's calculate LCM of 361,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 167143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/167143

Therefore, the GCF of Fractions 2559/361,2757/463 is 3/167143

Least Common Multiple of 361,463 with GCF Formula

Least Common Multiple of 361,463 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 361,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,463) = 1

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

GCF(361,463) x common factors =1 x 1 = 1

LCM(361,463) = ( 361 × 463 ) / 1

LCM(361,463) = 167143 / 1

LCM(361,463) = 167143


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 2559/361, 2757/463

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 2559/361, 2757/463?

Answer: GCF of Numerators as per given numbers 2559/361, 2757/463 is

GCF of Numerators i.e. for 2559,2757 is 3

LCM of denominators i.e. for 361,463 is 167143.

Thus, GCF of Fractions is 3/167143.Finally, GCF of Fractions for 2559/361, 2757/463 is 3/167143.