Greatest Common Factor of 446/69, 5114/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 446/69, 5114/216

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 446/69,5114/216

Given fractions are 446/69,5114/216

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 446,5114

Greatest Common Factor of Numerators i.e. GCF of 446,5114 is 2 .

LCM of Denominators means LCM of 69,216 as per the given fractions.

LCM of 69,216 is 4968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 446,5114

GCF of Fractions 446/69,5114/216 is 2/4968

2 446, 5114
223, 2557

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

Greatest Common Factor of 446,5114 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,5114 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 5114

List of positive integer factors of 5114 that divides 5114 without a remainder.

1,2,2557,5114

Greatest Common Factor

We found the factors 446,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 446,5114 is 2.

Lets's calculate LCM of 69,216

3 69, 216
23, 72

∴ So the LCM of the given numbers is 3 x 23 x 72 = 4968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4968

Therefore, the GCF of Fractions 446/69,5114/216 is 2/4968

Least Common Multiple of 69,216 with GCF Formula

Least Common Multiple of 69,216 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 69,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,216) = 3

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

GCF(69,216) x common factors =3 x 1 = 3

LCM(69,216) = ( 69 × 216 ) / 3

LCM(69,216) = 14904 / 3

LCM(69,216) = 4968


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 446/69, 5114/216

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 446/69, 5114/216?

Answer: GCF of Numerators as per given numbers 446/69, 5114/216 is

GCF of Numerators i.e. for 446,5114 is 2

LCM of denominators i.e. for 69,216 is 4968.

Thus, GCF of Fractions is 2/4968.Finally, GCF of Fractions for 446/69, 5114/216 is 2/4968.