Greatest Common Factor of 430/18, 525/90, 300/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/18, 525/90, 300/990

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 430/18,525/90,300/990

Given fractions are 430/18,525/90,300/990

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 430,525,300

Greatest Common Factor of Numerators i.e. GCF of 430,525,300 is 5 .

LCM of Denominators means LCM of 18,90,990 as per the given fractions.

LCM of 18,90,990 is 990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,525,300

GCF of Fractions 430/18,525/90,300/990 is 5/990

5 430, 525, 300
86, 105, 60

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 430,525,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,525,300 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

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

Greatest Common Factor

We found the factors 430,525,300 . The biggest common factor number is the GCF number.
So the greatest common factor 430,525,300 is 5.

Lets's calculate LCM of 18,90,990

2 18, 90, 990
3 9, 45, 495
3 3, 15, 165
5 1, 5, 55
1, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 11 = 990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/990

Therefore, the GCF of Fractions 430/18,525/90,300/990 is 5/990

Least Common Multiple of 18,90,990 with GCF Formula

Least Common Multiple of 18,90,990 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 18,90,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,90,990) = 18

common factors(in case of two or more numbers have common factors) = 90

GCF(18,90,990) x common factors =18 x 90 = 1620

LCM(18,90,990) = ( 18 × 90 × 990 ) / 1620

LCM(18,90,990) = 1603800 / 1620

LCM(18,90,990) = 990


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 430/18, 525/90, 300/990

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 430/18, 525/90, 300/990?

Answer: GCF of Numerators as per given numbers 430/18, 525/90, 300/990 is

GCF of Numerators i.e. for 430,525,300 is 5

LCM of denominators i.e. for 18,90,990 is 990.

Thus, GCF of Fractions is 5/990.Finally, GCF of Fractions for 430/18, 525/90, 300/990 is 5/990.