How to Find GCF of 435/32, 146/9072?

GCF of 435/32, 146/9072

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 435/32, 146/9072 i.e 1/18144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/32, 146/9072.

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 435/32,146/9072?

Given fractions are 435/32,146/9072

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 435/32,146/9072, numerators are 435,146

Denominators are 32,9072

The GCF of 435,146 is 1 .

LCM of 32,9072 is 18144.

The greatest common factor of 435/32,146/9072 = [GCF of 435,146]/[LCM of 32,9072]= 1/18144

Therefore, the GCF of 435/32,146/9072 is 1/18144.

Greatest Common Factor of 435,146

To find the highest common factor of 435,146, we have to find the factors of both numbers and list the highest common factor.

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435

The factors of 146 are 1, 2, 73, 146

The HCF of 435,146 is 1.

Lets's calculate GCF of 435,146

Greatest Common Factor (GCF) of 435,146 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 435,146 By Matching Biggest Common Factor Method

Now, list down the factors of 435

1,3,5,15,29,87,145,435

Now, list down the factors of 146

1,2,73,146

Greatest Common Factor

We found the factors 435,146 . The biggest common factor number is the GCF number.
So the greatest common factor 435,146 is 1.

Lets's calculate LCM of 32,9072

Lowest Common Multiple of 32,9072 using Common Division

2	32, 9072
2	16, 4536
2	8, 2268
2	4, 1134
	2, 567

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 567 = 18144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18144

Therefore, the GCF of Fractions 435/32,146/9072 is 1/18144

Least Common Multiple of 32,9072 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 32,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,9072) = 16

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

GCF(32,9072) x common factors =16 x 1 = 16

LCM(32,9072) = ( 32 × 9072 ) / 16

LCM(32,9072) = 290304 / 16

LCM(32,9072) = 18144

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 435/32, 146/9072

1. What is the HCF of 435,146?

The HCF of 435,146 is 1

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 435/32, 146/9072?

Answer: GCF of Numerators as per given numbers 435/32, 146/9072 is

GCF of Numerators i.e. for 435,146 is 1

LCM of denominators i.e. for 32,9072 is 18144.

Thus, GCF of Fractions is 1/18144.Finally, GCF of Fractions for 435/32, 146/9072 is 1/18144.