Greatest Common Factor of 185/512, 4525/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 185/512, 4525/108

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 185/512,4525/108

Given fractions are 185/512,4525/108

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 185,4525

Greatest Common Factor of Numerators i.e. GCF of 185,4525 is 5 .

LCM of Denominators means LCM of 512,108 as per the given fractions.

LCM of 512,108 is 13824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 185,4525

GCF of Fractions 185/512,4525/108 is 5/13824

5 185, 4525
37, 905

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

Greatest Common Factor of 185,4525 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,4525 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1,5,25,181,905,4525

Greatest Common Factor

We found the factors 185,4525 . The biggest common factor number is the GCF number.
So the greatest common factor 185,4525 is 5.

Lets's calculate LCM of 512,108

2 512, 108
2 256, 54
128, 27

∴ So the LCM of the given numbers is 2 x 2 x 128 x 27 = 13824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/13824

Therefore, the GCF of Fractions 185/512,4525/108 is 5/13824

Least Common Multiple of 512,108 with GCF Formula

Least Common Multiple of 512,108 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 512,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,108) = 4

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

GCF(512,108) x common factors =4 x 1 = 4

LCM(512,108) = ( 512 × 108 ) / 4

LCM(512,108) = 55296 / 4

LCM(512,108) = 13824


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 185/512, 4525/108

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 185/512, 4525/108?

Answer: GCF of Numerators as per given numbers 185/512, 4525/108 is

GCF of Numerators i.e. for 185,4525 is 5

LCM of denominators i.e. for 512,108 is 13824.

Thus, GCF of Fractions is 5/13824.Finally, GCF of Fractions for 185/512, 4525/108 is 5/13824.