Greatest Common Factor of 1027/184, 6576/8333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1027/184, 6576/8333

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 1027/184,6576/8333

Given fractions are 1027/184,6576/8333

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 1027,6576

Greatest Common Factor of Numerators i.e. GCF of 1027,6576 is 1 .

LCM of Denominators means LCM of 184,8333 as per the given fractions.

LCM of 184,8333 is 1533272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1027,6576

GCF of Fractions 1027/184,6576/8333 is 1/1533272

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

Greatest Common Factor of 1027,6576 By Matching Biggest Common Factor Method

Greatest Common Factor of 1027,6576 By Matching Biggest Common Factor Method

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1,13,79,1027

Factors of 6576

List of positive integer factors of 6576 that divides 6576 without a remainder.

1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576

Greatest Common Factor

We found the factors 1027,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 1027,6576 is 1.

Lets's calculate LCM of 184,8333

Given numbers has no common factors except 1. So, there LCM is their product i.e 1533272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1533272

Therefore, the GCF of Fractions 1027/184,6576/8333 is 1/1533272

Least Common Multiple of 184,8333 with GCF Formula

Least Common Multiple of 184,8333 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 184,8333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,8333) = 1

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

GCF(184,8333) x common factors =1 x 1 = 1

LCM(184,8333) = ( 184 × 8333 ) / 1

LCM(184,8333) = 1533272 / 1

LCM(184,8333) = 1533272


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 1027/184, 6576/8333

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 1027/184, 6576/8333?

Answer: GCF of Numerators as per given numbers 1027/184, 6576/8333 is

GCF of Numerators i.e. for 1027,6576 is 1

LCM of denominators i.e. for 184,8333 is 1533272.

Thus, GCF of Fractions is 1/1533272.Finally, GCF of Fractions for 1027/184, 6576/8333 is 1/1533272.