Greatest Common Factor of 779/999, 7505/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 779/999, 7505/409

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 779/999,7505/409

Given fractions are 779/999,7505/409

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 779,7505

Greatest Common Factor of Numerators i.e. GCF of 779,7505 is 19 .

LCM of Denominators means LCM of 999,409 as per the given fractions.

LCM of 999,409 is 408591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 779,7505

GCF of Fractions 779/999,7505/409 is 19/408591

19 779, 7505
41, 395

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 779,7505 By Matching Biggest Common Factor Method

Greatest Common Factor of 779,7505 By Matching Biggest Common Factor Method

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 7505

List of positive integer factors of 7505 that divides 7505 without a remainder.

1,5,19,79,95,395,1501,7505

Greatest Common Factor

We found the factors 779,7505 . The biggest common factor number is the GCF number.
So the greatest common factor 779,7505 is 19.

Lets's calculate LCM of 999,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 408591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/408591

Therefore, the GCF of Fractions 779/999,7505/409 is 19/408591

Least Common Multiple of 999,409 with GCF Formula

Least Common Multiple of 999,409 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 999,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,409) = 1

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

GCF(999,409) x common factors =1 x 1 = 1

LCM(999,409) = ( 999 × 409 ) / 1

LCM(999,409) = 408591 / 1

LCM(999,409) = 408591


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 779/999, 7505/409

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 779/999, 7505/409?

Answer: GCF of Numerators as per given numbers 779/999, 7505/409 is

GCF of Numerators i.e. for 779,7505 is 19

LCM of denominators i.e. for 999,409 is 408591.

Thus, GCF of Fractions is 19/408591.Finally, GCF of Fractions for 779/999, 7505/409 is 19/408591.