Greatest Common Factor of 4531/829, 4086/3634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4531/829, 4086/3634

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 4531/829,4086/3634

Given fractions are 4531/829,4086/3634

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 4531,4086

Greatest Common Factor of Numerators i.e. GCF of 4531,4086 is 1 .

LCM of Denominators means LCM of 829,3634 as per the given fractions.

LCM of 829,3634 is 3012586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4531,4086

GCF of Fractions 4531/829,4086/3634 is 1/3012586

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

Greatest Common Factor of 4531,4086 By Matching Biggest Common Factor Method

Greatest Common Factor of 4531,4086 By Matching Biggest Common Factor Method

Factors of 4531

List of positive integer factors of 4531 that divides 4531 without a remainder.

1,23,197,4531

Factors of 4086

List of positive integer factors of 4086 that divides 4086 without a remainder.

1,2,3,6,9,18,227,454,681,1362,2043,4086

Greatest Common Factor

We found the factors 4531,4086 . The biggest common factor number is the GCF number.
So the greatest common factor 4531,4086 is 1.

Lets's calculate LCM of 829,3634

Given numbers has no common factors except 1. So, there LCM is their product i.e 3012586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3012586

Therefore, the GCF of Fractions 4531/829,4086/3634 is 1/3012586

Least Common Multiple of 829,3634 with GCF Formula

Least Common Multiple of 829,3634 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 829,3634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,3634) = 1

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

GCF(829,3634) x common factors =1 x 1 = 1

LCM(829,3634) = ( 829 × 3634 ) / 1

LCM(829,3634) = 3012586 / 1

LCM(829,3634) = 3012586


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 4531/829, 4086/3634

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 4531/829, 4086/3634?

Answer: GCF of Numerators as per given numbers 4531/829, 4086/3634 is

GCF of Numerators i.e. for 4531,4086 is 1

LCM of denominators i.e. for 829,3634 is 3012586.

Thus, GCF of Fractions is 1/3012586.Finally, GCF of Fractions for 4531/829, 4086/3634 is 1/3012586.