Greatest Common Factor of 206/67, 408/7765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/67, 408/7765

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 206/67,408/7765

Given fractions are 206/67,408/7765

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 206,408

Greatest Common Factor of Numerators i.e. GCF of 206,408 is 2 .

LCM of Denominators means LCM of 67,7765 as per the given fractions.

LCM of 67,7765 is 520255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,408

GCF of Fractions 206/67,408/7765 is 2/520255

2 206, 408
103, 204

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

Greatest Common Factor of 206,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,408 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 206,408 . The biggest common factor number is the GCF number.
So the greatest common factor 206,408 is 2.

Lets's calculate LCM of 67,7765

Given numbers has no common factors except 1. So, there LCM is their product i.e 520255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/520255

Therefore, the GCF of Fractions 206/67,408/7765 is 2/520255

Least Common Multiple of 67,7765 with GCF Formula

Least Common Multiple of 67,7765 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 67,7765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,7765) = 1

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

GCF(67,7765) x common factors =1 x 1 = 1

LCM(67,7765) = ( 67 × 7765 ) / 1

LCM(67,7765) = 520255 / 1

LCM(67,7765) = 520255


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 206/67, 408/7765

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 206/67, 408/7765?

Answer: GCF of Numerators as per given numbers 206/67, 408/7765 is

GCF of Numerators i.e. for 206,408 is 2

LCM of denominators i.e. for 67,7765 is 520255.

Thus, GCF of Fractions is 2/520255.Finally, GCF of Fractions for 206/67, 408/7765 is 2/520255.