How to Find GCF of 432/86, 300/185?

GCF of 432/86, 300/185

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 432/86, 300/185 i.e 12/15910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 432/86, 300/185.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 432/86,300/185?

Given fractions are 432/86,300/185

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 432/86,300/185, numerators are 432,300

Denominators are 86,185

The GCF of 432,300 is 12 .

LCM of 86,185 is 15910.

The greatest common factor of 432/86,300/185 = [GCF of 432,300]/[LCM of 86,185]= 12/15910

Therefore, the GCF of 432/86,300/185 is 12/15910.

Greatest Common Factor of 432,300

To find the highest common factor of 432,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

The HCF of 432,300 is 12.

Lets's calculate GCF of 432,300

Greatest Common Factor (GCF) of 432,300 By Common Division

2	432, 300
2	216, 150
3	108, 75
	36, 25

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 432,300 By Matching Biggest Common Factor Method

Now, list down the factors of 432

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Now, list down the factors of 300

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 432,300 . The biggest common factor number is the GCF number.
So the greatest common factor 432,300 is 12.

Lets's calculate LCM of 86,185

Lowest Common Multiple of 86,185 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/15910

Therefore, the GCF of Fractions 432/86,300/185 is 12/15910

Least Common Multiple of 86,185 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 86,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,185) = 1

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

GCF(86,185) x common factors =1 x 1 = 1

LCM(86,185) = ( 86 × 185 ) / 1

LCM(86,185) = 15910 / 1

LCM(86,185) = 15910

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 432/86, 300/185

1. What is the HCF of 432,300?

The HCF of 432,300 is 12

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 432/86, 300/185?

Answer: GCF of Numerators as per given numbers 432/86, 300/185 is

GCF of Numerators i.e. for 432,300 is 12

LCM of denominators i.e. for 86,185 is 15910.

Thus, GCF of Fractions is 12/15910.Finally, GCF of Fractions for 432/86, 300/185 is 12/15910.