Greatest Common Factor of 13/859, 949/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/859, 949/446

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 13/859,949/446

Given fractions are 13/859,949/446

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 13,949

Greatest Common Factor of Numerators i.e. GCF of 13,949 is 13 .

LCM of Denominators means LCM of 859,446 as per the given fractions.

LCM of 859,446 is 383114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,949

GCF of Fractions 13/859,949/446 is 13/383114

13 13, 949
1, 73

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 13,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,949 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 13,949 . The biggest common factor number is the GCF number.
So the greatest common factor 13,949 is 13.

Lets's calculate LCM of 859,446

Given numbers has no common factors except 1. So, there LCM is their product i.e 383114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/383114

Therefore, the GCF of Fractions 13/859,949/446 is 13/383114

Least Common Multiple of 859,446 with GCF Formula

Least Common Multiple of 859,446 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 859,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(859,446) = 1

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

GCF(859,446) x common factors =1 x 1 = 1

LCM(859,446) = ( 859 × 446 ) / 1

LCM(859,446) = 383114 / 1

LCM(859,446) = 383114


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 13/859, 949/446

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 13/859, 949/446?

Answer: GCF of Numerators as per given numbers 13/859, 949/446 is

GCF of Numerators i.e. for 13,949 is 13

LCM of denominators i.e. for 859,446 is 383114.

Thus, GCF of Fractions is 13/383114.Finally, GCF of Fractions for 13/859, 949/446 is 13/383114.