Greatest Common Factor of 30/650, 492/750, 604/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/650, 492/750, 604/450

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 30/650,492/750,604/450

Given fractions are 30/650,492/750,604/450

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 30,492,604

Greatest Common Factor of Numerators i.e. GCF of 30,492,604 is 2 .

LCM of Denominators means LCM of 650,750,450 as per the given fractions.

LCM of 650,750,450 is 29250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,492,604

GCF of Fractions 30/650,492/750,604/450 is 2/29250

2 30, 492, 604
15, 246, 302

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

Greatest Common Factor of 30,492,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,492,604 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 30,492,604 . The biggest common factor number is the GCF number.
So the greatest common factor 30,492,604 is 2.

Lets's calculate LCM of 650,750,450

2 650, 750, 450
3 325, 375, 225
5 325, 125, 75
5 65, 25, 15
13, 5, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 5 x 3 = 29250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29250

Therefore, the GCF of Fractions 30/650,492/750,604/450 is 2/29250

Least Common Multiple of 650,750,450 with GCF Formula

Least Common Multiple of 650,750,450 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 650,750,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,750,450) = 50

common factors(in case of two or more numbers have common factors) = 150

GCF(650,750,450) x common factors =50 x 150 = 7500

LCM(650,750,450) = ( 650 × 750 × 450 ) / 7500

LCM(650,750,450) = 219375000 / 7500

LCM(650,750,450) = 29250


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 30/650, 492/750, 604/450

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 30/650, 492/750, 604/450?

Answer: GCF of Numerators as per given numbers 30/650, 492/750, 604/450 is

GCF of Numerators i.e. for 30,492,604 is 2

LCM of denominators i.e. for 650,750,450 is 29250.

Thus, GCF of Fractions is 2/29250.Finally, GCF of Fractions for 30/650, 492/750, 604/450 is 2/29250.