Greatest Common Factor of 1733/855, 4567/8959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1733/855, 4567/8959

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 1733/855,4567/8959

Given fractions are 1733/855,4567/8959

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 1733,4567

Greatest Common Factor of Numerators i.e. GCF of 1733,4567 is 1 .

LCM of Denominators means LCM of 855,8959 as per the given fractions.

LCM of 855,8959 is 7659945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1733,4567

GCF of Fractions 1733/855,4567/8959 is 1/7659945

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

Greatest Common Factor of 1733,4567 By Matching Biggest Common Factor Method

Greatest Common Factor of 1733,4567 By Matching Biggest Common Factor Method

Factors of 1733

List of positive integer factors of 1733 that divides 1733 without a remainder.

1,1733

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

Greatest Common Factor

We found the factors 1733,4567 . The biggest common factor number is the GCF number.
So the greatest common factor 1733,4567 is 1.


Lets's calculate LCM of 855,8959

Given numbers has no common factors except 1. So, there LCM is their product i.e 7659945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7659945

Therefore, the GCF of Fractions 1733/855,4567/8959 is 1/7659945

Least Common Multiple of 855,8959 with GCF Formula

Least Common Multiple of 855,8959 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 855,8959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,8959) = 1

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

GCF(855,8959) x common factors =1 x 1 = 1

LCM(855,8959) = ( 855 × 8959 ) / 1

LCM(855,8959) = 7659945 / 1

LCM(855,8959) = 7659945


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1733/855, 4567/8959

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 1733/855, 4567/8959?

Answer: GCF of Numerators as per given numbers 1733/855, 4567/8959 is

GCF of Numerators i.e. for 1733,4567 is 1

LCM of denominators i.e. for 855,8959 is 7659945.

Thus, GCF of Fractions is 1/7659945.Finally, GCF of Fractions for 1733/855, 4567/8959 is 1/7659945.