Greatest Common Factor of 9284/797, 4659/3663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9284/797, 4659/3663

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 9284/797,4659/3663

Given fractions are 9284/797,4659/3663

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 9284,4659

Greatest Common Factor of Numerators i.e. GCF of 9284,4659 is 1 .

LCM of Denominators means LCM of 797,3663 as per the given fractions.

LCM of 797,3663 is 2919411 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9284,4659

GCF of Fractions 9284/797,4659/3663 is 1/2919411

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

Greatest Common Factor of 9284,4659 By Matching Biggest Common Factor Method

Greatest Common Factor of 9284,4659 By Matching Biggest Common Factor Method

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Factors of 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1,3,1553,4659

Greatest Common Factor

We found the factors 9284,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 9284,4659 is 1.

Lets's calculate LCM of 797,3663

Given numbers has no common factors except 1. So, there LCM is their product i.e 2919411

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2919411

Therefore, the GCF of Fractions 9284/797,4659/3663 is 1/2919411

Least Common Multiple of 797,3663 with GCF Formula

Least Common Multiple of 797,3663 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 797,3663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,3663) = 1

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

GCF(797,3663) x common factors =1 x 1 = 1

LCM(797,3663) = ( 797 × 3663 ) / 1

LCM(797,3663) = 2919411 / 1

LCM(797,3663) = 2919411


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 9284/797, 4659/3663

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 9284/797, 4659/3663?

Answer: GCF of Numerators as per given numbers 9284/797, 4659/3663 is

GCF of Numerators i.e. for 9284,4659 is 1

LCM of denominators i.e. for 797,3663 is 2919411.

Thus, GCF of Fractions is 1/2919411.Finally, GCF of Fractions for 9284/797, 4659/3663 is 1/2919411.