Greatest Common Factor of 8075/514, 1633/5814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8075/514, 1633/5814

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 8075/514,1633/5814

Given fractions are 8075/514,1633/5814

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 8075,1633

Greatest Common Factor of Numerators i.e. GCF of 8075,1633 is 1 .

LCM of Denominators means LCM of 514,5814 as per the given fractions.

LCM of 514,5814 is 1494198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8075,1633

GCF of Fractions 8075/514,1633/5814 is 1/1494198

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

Greatest Common Factor of 8075,1633 By Matching Biggest Common Factor Method

Greatest Common Factor of 8075,1633 By Matching Biggest Common Factor Method

Factors of 8075

List of positive integer factors of 8075 that divides 8075 without a remainder.

1,5,17,19,25,85,95,323,425,475,1615,8075

Factors of 1633

List of positive integer factors of 1633 that divides 1633 without a remainder.

1,23,71,1633

Greatest Common Factor

We found the factors 8075,1633 . The biggest common factor number is the GCF number.
So the greatest common factor 8075,1633 is 1.

Lets's calculate LCM of 514,5814

2 514, 5814
257, 2907

∴ So the LCM of the given numbers is 2 x 257 x 2907 = 1494198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1494198

Therefore, the GCF of Fractions 8075/514,1633/5814 is 1/1494198

Least Common Multiple of 514,5814 with GCF Formula

Least Common Multiple of 514,5814 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 514,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,5814) = 2

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

GCF(514,5814) x common factors =2 x 1 = 2

LCM(514,5814) = ( 514 × 5814 ) / 2

LCM(514,5814) = 2988396 / 2

LCM(514,5814) = 1494198


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 8075/514, 1633/5814

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 8075/514, 1633/5814?

Answer: GCF of Numerators as per given numbers 8075/514, 1633/5814 is

GCF of Numerators i.e. for 8075,1633 is 1

LCM of denominators i.e. for 514,5814 is 1494198.

Thus, GCF of Fractions is 1/1494198.Finally, GCF of Fractions for 8075/514, 1633/5814 is 1/1494198.