Greatest Common Factor of 5214/449, 3013/3799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5214/449, 3013/3799

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 5214/449,3013/3799

Given fractions are 5214/449,3013/3799

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 5214,3013

Greatest Common Factor of Numerators i.e. GCF of 5214,3013 is 1 .

LCM of Denominators means LCM of 449,3799 as per the given fractions.

LCM of 449,3799 is 1705751 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5214,3013

GCF of Fractions 5214/449,3013/3799 is 1/1705751

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

Greatest Common Factor of 5214,3013 By Matching Biggest Common Factor Method

Greatest Common Factor of 5214,3013 By Matching Biggest Common Factor Method

Factors of 5214

List of positive integer factors of 5214 that divides 5214 without a remainder.

1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214

Factors of 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1,23,131,3013

Greatest Common Factor

We found the factors 5214,3013 . The biggest common factor number is the GCF number.
So the greatest common factor 5214,3013 is 1.

Lets's calculate LCM of 449,3799

Given numbers has no common factors except 1. So, there LCM is their product i.e 1705751

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705751

Therefore, the GCF of Fractions 5214/449,3013/3799 is 1/1705751

Least Common Multiple of 449,3799 with GCF Formula

Least Common Multiple of 449,3799 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 449,3799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,3799) = 1

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

GCF(449,3799) x common factors =1 x 1 = 1

LCM(449,3799) = ( 449 × 3799 ) / 1

LCM(449,3799) = 1705751 / 1

LCM(449,3799) = 1705751


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 5214/449, 3013/3799

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 5214/449, 3013/3799?

Answer: GCF of Numerators as per given numbers 5214/449, 3013/3799 is

GCF of Numerators i.e. for 5214,3013 is 1

LCM of denominators i.e. for 449,3799 is 1705751.

Thus, GCF of Fractions is 1/1705751.Finally, GCF of Fractions for 5214/449, 3013/3799 is 1/1705751.