Greatest Common Factor of 145/32, 4365/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/32, 4365/509

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 145/32,4365/509

Given fractions are 145/32,4365/509

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 145,4365

Greatest Common Factor of Numerators i.e. GCF of 145,4365 is 5 .

LCM of Denominators means LCM of 32,509 as per the given fractions.

LCM of 32,509 is 16288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,4365

GCF of Fractions 145/32,4365/509 is 5/16288

5 145, 4365
29, 873

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

Greatest Common Factor of 145,4365 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,4365 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 4365

List of positive integer factors of 4365 that divides 4365 without a remainder.

1,3,5,9,15,45,97,291,485,873,1455,4365

Greatest Common Factor

We found the factors 145,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 145,4365 is 5.

Lets's calculate LCM of 32,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 16288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/16288

Therefore, the GCF of Fractions 145/32,4365/509 is 5/16288

Least Common Multiple of 32,509 with GCF Formula

Least Common Multiple of 32,509 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 32,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,509) = 1

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

GCF(32,509) x common factors =1 x 1 = 1

LCM(32,509) = ( 32 × 509 ) / 1

LCM(32,509) = 16288 / 1

LCM(32,509) = 16288


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 145/32, 4365/509

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 145/32, 4365/509?

Answer: GCF of Numerators as per given numbers 145/32, 4365/509 is

GCF of Numerators i.e. for 145,4365 is 5

LCM of denominators i.e. for 32,509 is 16288.

Thus, GCF of Fractions is 5/16288.Finally, GCF of Fractions for 145/32, 4365/509 is 5/16288.