Greatest Common Factor of 300/32, 450/8532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/32, 450/8532

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 300/32,450/8532

Given fractions are 300/32,450/8532

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 300,450

Greatest Common Factor of Numerators i.e. GCF of 300,450 is 150 .

LCM of Denominators means LCM of 32,8532 as per the given fractions.

LCM of 32,8532 is 68256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,450

GCF of Fractions 300/32,450/8532 is 150/68256

2 300, 450
3 150, 225
5 50, 75
5 10, 15
2, 3

∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150

Greatest Common Factor of 300,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,450 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

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

Greatest Common Factor

We found the factors 300,450 . The biggest common factor number is the GCF number.
So the greatest common factor 300,450 is 150.

Lets's calculate LCM of 32,8532

2 32, 8532
2 16, 4266
8, 2133

∴ So the LCM of the given numbers is 2 x 2 x 8 x 2133 = 68256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/68256

Therefore, the GCF of Fractions 300/32,450/8532 is 150/68256

Least Common Multiple of 32,8532 with GCF Formula

Least Common Multiple of 32,8532 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 32,8532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,8532) = 4

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

GCF(32,8532) x common factors =4 x 1 = 4

LCM(32,8532) = ( 32 × 8532 ) / 4

LCM(32,8532) = 273024 / 4

LCM(32,8532) = 68256


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 300/32, 450/8532

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 300/32, 450/8532?

Answer: GCF of Numerators as per given numbers 300/32, 450/8532 is

GCF of Numerators i.e. for 300,450 is 150

LCM of denominators i.e. for 32,8532 is 68256.

Thus, GCF of Fractions is 150/68256.Finally, GCF of Fractions for 300/32, 450/8532 is 150/68256.