Greatest Common Factor of 2364/487, 4418/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2364/487, 4418/177

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 2364/487,4418/177

Given fractions are 2364/487,4418/177

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 2364,4418

Greatest Common Factor of Numerators i.e. GCF of 2364,4418 is 2 .

LCM of Denominators means LCM of 487,177 as per the given fractions.

LCM of 487,177 is 86199 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2364,4418

GCF of Fractions 2364/487,4418/177 is 2/86199

2 2364, 4418
1182, 2209

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2364,4418 By Matching Biggest Common Factor Method

Greatest Common Factor of 2364,4418 By Matching Biggest Common Factor Method

Factors of 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1,2,3,4,6,12,197,394,591,788,1182,2364

Factors of 4418

List of positive integer factors of 4418 that divides 4418 without a remainder.

1,2,47,94,2209,4418

Greatest Common Factor

We found the factors 2364,4418 . The biggest common factor number is the GCF number.
So the greatest common factor 2364,4418 is 2.

Lets's calculate LCM of 487,177

Given numbers has no common factors except 1. So, there LCM is their product i.e 86199

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86199

Therefore, the GCF of Fractions 2364/487,4418/177 is 2/86199

Least Common Multiple of 487,177 with GCF Formula

Least Common Multiple of 487,177 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 487,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,177) = 1

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

GCF(487,177) x common factors =1 x 1 = 1

LCM(487,177) = ( 487 × 177 ) / 1

LCM(487,177) = 86199 / 1

LCM(487,177) = 86199


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 2364/487, 4418/177

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 2364/487, 4418/177?

Answer: GCF of Numerators as per given numbers 2364/487, 4418/177 is

GCF of Numerators i.e. for 2364,4418 is 2

LCM of denominators i.e. for 487,177 is 86199.

Thus, GCF of Fractions is 2/86199.Finally, GCF of Fractions for 2364/487, 4418/177 is 2/86199.