Greatest Common Factor of 5255/659, 4177/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5255/659, 4177/412

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 5255/659,4177/412

Given fractions are 5255/659,4177/412

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 5255,4177

Greatest Common Factor of Numerators i.e. GCF of 5255,4177 is 1 .

LCM of Denominators means LCM of 659,412 as per the given fractions.

LCM of 659,412 is 271508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5255,4177

GCF of Fractions 5255/659,4177/412 is 1/271508

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5255,4177 By Matching Biggest Common Factor Method

Greatest Common Factor of 5255,4177 By Matching Biggest Common Factor Method

Factors of 5255

List of positive integer factors of 5255 that divides 5255 without a remainder.

1,5,1051,5255

Factors of 4177

List of positive integer factors of 4177 that divides 4177 without a remainder.

1,4177

Greatest Common Factor

We found the factors 5255,4177 . The biggest common factor number is the GCF number.
So the greatest common factor 5255,4177 is 1.

Lets's calculate LCM of 659,412

Given numbers has no common factors except 1. So, there LCM is their product i.e 271508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271508

Therefore, the GCF of Fractions 5255/659,4177/412 is 1/271508

Least Common Multiple of 659,412 with GCF Formula

Least Common Multiple of 659,412 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 659,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,412) = 1

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

GCF(659,412) x common factors =1 x 1 = 1

LCM(659,412) = ( 659 × 412 ) / 1

LCM(659,412) = 271508 / 1

LCM(659,412) = 271508


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 5255/659, 4177/412

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 5255/659, 4177/412?

Answer: GCF of Numerators as per given numbers 5255/659, 4177/412 is

GCF of Numerators i.e. for 5255,4177 is 1

LCM of denominators i.e. for 659,412 is 271508.

Thus, GCF of Fractions is 1/271508.Finally, GCF of Fractions for 5255/659, 4177/412 is 1/271508.