Greatest Common Factor of 51/713, 6103/1723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/713, 6103/1723

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 51/713,6103/1723

Given fractions are 51/713,6103/1723

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 51,6103

Greatest Common Factor of Numerators i.e. GCF of 51,6103 is 17 .

LCM of Denominators means LCM of 713,1723 as per the given fractions.

LCM of 713,1723 is 1228499 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,6103

GCF of Fractions 51/713,6103/1723 is 17/1228499

17 51, 6103
3, 359

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 51,6103 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,6103 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 6103

List of positive integer factors of 6103 that divides 6103 without a remainder.

1,17,359,6103

Greatest Common Factor

We found the factors 51,6103 . The biggest common factor number is the GCF number.
So the greatest common factor 51,6103 is 17.

Lets's calculate LCM of 713,1723

Given numbers has no common factors except 1. So, there LCM is their product i.e 1228499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1228499

Therefore, the GCF of Fractions 51/713,6103/1723 is 17/1228499

Least Common Multiple of 713,1723 with GCF Formula

Least Common Multiple of 713,1723 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 713,1723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(713,1723) = 1

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

GCF(713,1723) x common factors =1 x 1 = 1

LCM(713,1723) = ( 713 × 1723 ) / 1

LCM(713,1723) = 1228499 / 1

LCM(713,1723) = 1228499


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 51/713, 6103/1723

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 51/713, 6103/1723?

Answer: GCF of Numerators as per given numbers 51/713, 6103/1723 is

GCF of Numerators i.e. for 51,6103 is 17

LCM of denominators i.e. for 713,1723 is 1228499.

Thus, GCF of Fractions is 17/1228499.Finally, GCF of Fractions for 51/713, 6103/1723 is 17/1228499.