Greatest Common Factor of 2450/339, 6318/1719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2450/339, 6318/1719

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 2450/339,6318/1719

Given fractions are 2450/339,6318/1719

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 2450,6318

Greatest Common Factor of Numerators i.e. GCF of 2450,6318 is 2 .

LCM of Denominators means LCM of 339,1719 as per the given fractions.

LCM of 339,1719 is 194247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2450,6318

GCF of Fractions 2450/339,6318/1719 is 2/194247

2 2450, 6318
1225, 3159

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

Greatest Common Factor of 2450,6318 By Matching Biggest Common Factor Method

Greatest Common Factor of 2450,6318 By Matching Biggest Common Factor Method

Factors of 2450

List of positive integer factors of 2450 that divides 2450 without a remainder.

1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450

Factors of 6318

List of positive integer factors of 6318 that divides 6318 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318

Greatest Common Factor

We found the factors 2450,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 2450,6318 is 2.

Lets's calculate LCM of 339,1719

3 339, 1719
113, 573

∴ So the LCM of the given numbers is 3 x 113 x 573 = 194247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/194247

Therefore, the GCF of Fractions 2450/339,6318/1719 is 2/194247

Least Common Multiple of 339,1719 with GCF Formula

Least Common Multiple of 339,1719 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 339,1719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,1719) = 3

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

GCF(339,1719) x common factors =3 x 1 = 3

LCM(339,1719) = ( 339 × 1719 ) / 3

LCM(339,1719) = 582741 / 3

LCM(339,1719) = 194247


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 2450/339, 6318/1719

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 2450/339, 6318/1719?

Answer: GCF of Numerators as per given numbers 2450/339, 6318/1719 is

GCF of Numerators i.e. for 2450,6318 is 2

LCM of denominators i.e. for 339,1719 is 194247.

Thus, GCF of Fractions is 2/194247.Finally, GCF of Fractions for 2450/339, 6318/1719 is 2/194247.