Greatest Common Factor of 450/709, 572/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/709, 572/428

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 450/709,572/428

Given fractions are 450/709,572/428

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 450,572

Greatest Common Factor of Numerators i.e. GCF of 450,572 is 2 .

LCM of Denominators means LCM of 709,428 as per the given fractions.

LCM of 709,428 is 303452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,572

GCF of Fractions 450/709,572/428 is 2/303452

2 450, 572
225, 286

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

Greatest Common Factor of 450,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,572 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 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 450,572 . The biggest common factor number is the GCF number.
So the greatest common factor 450,572 is 2.

Lets's calculate LCM of 709,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 303452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/303452

Therefore, the GCF of Fractions 450/709,572/428 is 2/303452

Least Common Multiple of 709,428 with GCF Formula

Least Common Multiple of 709,428 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 709,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,428) = 1

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

GCF(709,428) x common factors =1 x 1 = 1

LCM(709,428) = ( 709 × 428 ) / 1

LCM(709,428) = 303452 / 1

LCM(709,428) = 303452


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 450/709, 572/428

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 450/709, 572/428?

Answer: GCF of Numerators as per given numbers 450/709, 572/428 is

GCF of Numerators i.e. for 450,572 is 2

LCM of denominators i.e. for 709,428 is 303452.

Thus, GCF of Fractions is 2/303452.Finally, GCF of Fractions for 450/709, 572/428 is 2/303452.