Greatest Common Factor of 450/56, 628/23, 205/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/56, 628/23, 205/89

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 450/56,628/23,205/89

Given fractions are 450/56,628/23,205/89

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 450,628,205

Greatest Common Factor of Numerators i.e. GCF of 450,628,205 is 1 .

LCM of Denominators means LCM of 56,23,89 as per the given fractions.

LCM of 56,23,89 is 114632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,628,205

GCF of Fractions 450/56,628/23,205/89 is 1/114632

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

Greatest Common Factor of 450,628,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,628,205 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 450,628,205 . The biggest common factor number is the GCF number.
So the greatest common factor 450,628,205 is 1.

Lets's calculate LCM of 56,23,89

Given numbers has no common factors except 1. So, there LCM is their product i.e 114632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114632

Therefore, the GCF of Fractions 450/56,628/23,205/89 is 1/114632

Least Common Multiple of 56,23,89 with GCF Formula

Least Common Multiple of 56,23,89 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 56,23,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,23,89) = 1

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

GCF(56,23,89) x common factors =1 x 1 = 1

LCM(56,23,89) = ( 56 × 23 × 89 ) / 1

LCM(56,23,89) = 114632 / 1

LCM(56,23,89) = 114632


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 450/56, 628/23, 205/89

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 450/56, 628/23, 205/89?

Answer: GCF of Numerators as per given numbers 450/56, 628/23, 205/89 is

GCF of Numerators i.e. for 450,628,205 is 1

LCM of denominators i.e. for 56,23,89 is 114632.

Thus, GCF of Fractions is 1/114632.Finally, GCF of Fractions for 450/56, 628/23, 205/89 is 1/114632.