Greatest Common Factor of 2177/45, 8413/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2177/45, 8413/451

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 2177/45,8413/451

Given fractions are 2177/45,8413/451

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 2177,8413

Greatest Common Factor of Numerators i.e. GCF of 2177,8413 is 1 .

LCM of Denominators means LCM of 45,451 as per the given fractions.

LCM of 45,451 is 20295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2177,8413

GCF of Fractions 2177/45,8413/451 is 1/20295

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

Greatest Common Factor of 2177,8413 By Matching Biggest Common Factor Method

Greatest Common Factor of 2177,8413 By Matching Biggest Common Factor Method

Factors of 2177

List of positive integer factors of 2177 that divides 2177 without a remainder.

1,7,311,2177

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1,47,179,8413

Greatest Common Factor

We found the factors 2177,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 2177,8413 is 1.

Lets's calculate LCM of 45,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 20295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20295

Therefore, the GCF of Fractions 2177/45,8413/451 is 1/20295

Least Common Multiple of 45,451 with GCF Formula

Least Common Multiple of 45,451 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 45,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,451) = 1

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

GCF(45,451) x common factors =1 x 1 = 1

LCM(45,451) = ( 45 × 451 ) / 1

LCM(45,451) = 20295 / 1

LCM(45,451) = 20295


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 2177/45, 8413/451

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 2177/45, 8413/451?

Answer: GCF of Numerators as per given numbers 2177/45, 8413/451 is

GCF of Numerators i.e. for 2177,8413 is 1

LCM of denominators i.e. for 45,451 is 20295.

Thus, GCF of Fractions is 1/20295.Finally, GCF of Fractions for 2177/45, 8413/451 is 1/20295.