Greatest Common Factor of 450/30, 498/6567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/30, 498/6567

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 450/30,498/6567

Given fractions are 450/30,498/6567

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 450,498

Greatest Common Factor of Numerators i.e. GCF of 450,498 is 6 .

LCM of Denominators means LCM of 30,6567 as per the given fractions.

LCM of 30,6567 is 65670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,498

GCF of Fractions 450/30,498/6567 is 6/65670

2 450, 498
3 225, 249
75, 83

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 450,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,498 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 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 450,498 . The biggest common factor number is the GCF number.
So the greatest common factor 450,498 is 6.

Lets's calculate LCM of 30,6567

3 30, 6567
10, 2189

∴ So the LCM of the given numbers is 3 x 10 x 2189 = 65670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/65670

Therefore, the GCF of Fractions 450/30,498/6567 is 6/65670

Least Common Multiple of 30,6567 with GCF Formula

Least Common Multiple of 30,6567 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 30,6567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,6567) = 3

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

GCF(30,6567) x common factors =3 x 1 = 3

LCM(30,6567) = ( 30 × 6567 ) / 3

LCM(30,6567) = 197010 / 3

LCM(30,6567) = 65670


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 450/30, 498/6567

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 450/30, 498/6567?

Answer: GCF of Numerators as per given numbers 450/30, 498/6567 is

GCF of Numerators i.e. for 450,498 is 6

LCM of denominators i.e. for 30,6567 is 65670.

Thus, GCF of Fractions is 6/65670.Finally, GCF of Fractions for 450/30, 498/6567 is 6/65670.