Greatest Common Factor of 778/52, 408/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 778/52, 408/409

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 778/52,408/409

Given fractions are 778/52,408/409

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 778,408

Greatest Common Factor of Numerators i.e. GCF of 778,408 is 2 .

LCM of Denominators means LCM of 52,409 as per the given fractions.

LCM of 52,409 is 21268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 778,408

GCF of Fractions 778/52,408/409 is 2/21268

2 778, 408
389, 204

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

Greatest Common Factor of 778,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 778,408 By Matching Biggest Common Factor Method

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

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 778,408 . The biggest common factor number is the GCF number.
So the greatest common factor 778,408 is 2.

Lets's calculate LCM of 52,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 21268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21268

Therefore, the GCF of Fractions 778/52,408/409 is 2/21268

Least Common Multiple of 52,409 with GCF Formula

Least Common Multiple of 52,409 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 52,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,409) = 1

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

GCF(52,409) x common factors =1 x 1 = 1

LCM(52,409) = ( 52 × 409 ) / 1

LCM(52,409) = 21268 / 1

LCM(52,409) = 21268


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 778/52, 408/409

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 778/52, 408/409?

Answer: GCF of Numerators as per given numbers 778/52, 408/409 is

GCF of Numerators i.e. for 778,408 is 2

LCM of denominators i.e. for 52,409 is 21268.

Thus, GCF of Fractions is 2/21268.Finally, GCF of Fractions for 778/52, 408/409 is 2/21268.