Greatest Common Factor of 5170/613, 1614/4293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5170/613, 1614/4293

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 5170/613,1614/4293

Given fractions are 5170/613,1614/4293

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 5170,1614

Greatest Common Factor of Numerators i.e. GCF of 5170,1614 is 2 .

LCM of Denominators means LCM of 613,4293 as per the given fractions.

LCM of 613,4293 is 2631609 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5170,1614

GCF of Fractions 5170/613,1614/4293 is 2/2631609

2 5170, 1614
2585, 807

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5170,1614 By Matching Biggest Common Factor Method

Greatest Common Factor of 5170,1614 By Matching Biggest Common Factor Method

Factors of 5170

List of positive integer factors of 5170 that divides 5170 without a remainder.

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1,2,3,6,269,538,807,1614

Greatest Common Factor

We found the factors 5170,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 5170,1614 is 2.

Lets's calculate LCM of 613,4293

Given numbers has no common factors except 1. So, there LCM is their product i.e 2631609

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2631609

Therefore, the GCF of Fractions 5170/613,1614/4293 is 2/2631609

Least Common Multiple of 613,4293 with GCF Formula

Least Common Multiple of 613,4293 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 613,4293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,4293) = 1

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

GCF(613,4293) x common factors =1 x 1 = 1

LCM(613,4293) = ( 613 × 4293 ) / 1

LCM(613,4293) = 2631609 / 1

LCM(613,4293) = 2631609


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 5170/613, 1614/4293

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 5170/613, 1614/4293?

Answer: GCF of Numerators as per given numbers 5170/613, 1614/4293 is

GCF of Numerators i.e. for 5170,1614 is 2

LCM of denominators i.e. for 613,4293 is 2631609.

Thus, GCF of Fractions is 2/2631609.Finally, GCF of Fractions for 5170/613, 1614/4293 is 2/2631609.