Greatest Common Factor of 4186/779, 8229/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4186/779, 8229/516

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 4186/779,8229/516

Given fractions are 4186/779,8229/516

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 4186,8229

Greatest Common Factor of Numerators i.e. GCF of 4186,8229 is 13 .

LCM of Denominators means LCM of 779,516 as per the given fractions.

LCM of 779,516 is 401964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4186,8229

GCF of Fractions 4186/779,8229/516 is 13/401964

13 4186, 8229
322, 633

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

Greatest Common Factor of 4186,8229 By Matching Biggest Common Factor Method

Greatest Common Factor of 4186,8229 By Matching Biggest Common Factor Method

Factors of 4186

List of positive integer factors of 4186 that divides 4186 without a remainder.

1,2,7,13,14,23,26,46,91,161,182,299,322,598,2093,4186

Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1,3,13,39,211,633,2743,8229

Greatest Common Factor

We found the factors 4186,8229 . The biggest common factor number is the GCF number.
So the greatest common factor 4186,8229 is 13.

Lets's calculate LCM of 779,516

Given numbers has no common factors except 1. So, there LCM is their product i.e 401964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/401964

Therefore, the GCF of Fractions 4186/779,8229/516 is 13/401964

Least Common Multiple of 779,516 with GCF Formula

Least Common Multiple of 779,516 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 779,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,516) = 1

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

GCF(779,516) x common factors =1 x 1 = 1

LCM(779,516) = ( 779 × 516 ) / 1

LCM(779,516) = 401964 / 1

LCM(779,516) = 401964


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 4186/779, 8229/516

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 4186/779, 8229/516?

Answer: GCF of Numerators as per given numbers 4186/779, 8229/516 is

GCF of Numerators i.e. for 4186,8229 is 13

LCM of denominators i.e. for 779,516 is 401964.

Thus, GCF of Fractions is 13/401964.Finally, GCF of Fractions for 4186/779, 8229/516 is 13/401964.