Greatest Common Factor of 3665/34, 4305/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3665/34, 4305/851

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 3665/34,4305/851

Given fractions are 3665/34,4305/851

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 3665,4305

Greatest Common Factor of Numerators i.e. GCF of 3665,4305 is 5 .

LCM of Denominators means LCM of 34,851 as per the given fractions.

LCM of 34,851 is 28934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3665,4305

GCF of Fractions 3665/34,4305/851 is 5/28934

5 3665, 4305
733, 861

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

Greatest Common Factor of 3665,4305 By Matching Biggest Common Factor Method

Greatest Common Factor of 3665,4305 By Matching Biggest Common Factor Method

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Greatest Common Factor

We found the factors 3665,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 3665,4305 is 5.

Lets's calculate LCM of 34,851

Given numbers has no common factors except 1. So, there LCM is their product i.e 28934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/28934

Therefore, the GCF of Fractions 3665/34,4305/851 is 5/28934

Least Common Multiple of 34,851 with GCF Formula

Least Common Multiple of 34,851 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 34,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,851) = 1

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

GCF(34,851) x common factors =1 x 1 = 1

LCM(34,851) = ( 34 × 851 ) / 1

LCM(34,851) = 28934 / 1

LCM(34,851) = 28934


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 3665/34, 4305/851

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 3665/34, 4305/851?

Answer: GCF of Numerators as per given numbers 3665/34, 4305/851 is

GCF of Numerators i.e. for 3665,4305 is 5

LCM of denominators i.e. for 34,851 is 28934.

Thus, GCF of Fractions is 5/28934.Finally, GCF of Fractions for 3665/34, 4305/851 is 5/28934.