Greatest Common Factor of 5/76, 80/80, 40/776, 799/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/76, 80/80, 40/776, 799/419

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 5/76,80/80,40/776,799/419

Given fractions are 5/76,80/80,40/776,799/419

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 5,80,40,799

Greatest Common Factor of Numerators i.e. GCF of 5,80,40,799 is 1 .

LCM of Denominators means LCM of 76,80,776,419 as per the given fractions.

LCM of 76,80,776,419 is 61777360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,80,40,799

GCF of Fractions 5/76,80/80,40/776,799/419 is 1/61777360

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5,80,40,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,80,40,799 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 5,80,40,799 . The biggest common factor number is the GCF number.
So the greatest common factor 5,80,40,799 is 1.

Lets's calculate LCM of 76,80,776,419

2 76, 80, 776, 419
2 38, 40, 388, 419
2 19, 20, 194, 419
19, 10, 97, 419

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 10 x 97 x 419 = 61777360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61777360

Therefore, the GCF of Fractions 5/76,80/80,40/776,799/419 is 1/61777360

Least Common Multiple of 76,80,776,419 with GCF Formula

Least Common Multiple of 76,80,776,419 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 76,80,776,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,80,776,419) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(76,80,776,419) x common factors =1 x 32 = 32

LCM(76,80,776,419) = ( 76 × 80 × 776 × 419 ) / 32

LCM(76,80,776,419) = 1976875520 / 32

LCM(76,80,776,419) = 61777360


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 5/76, 80/80, 40/776, 799/419

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 5/76, 80/80, 40/776, 799/419?

Answer: GCF of Numerators as per given numbers 5/76, 80/80, 40/776, 799/419 is

GCF of Numerators i.e. for 5,80,40,799 is 1

LCM of denominators i.e. for 76,80,776,419 is 61777360.

Thus, GCF of Fractions is 1/61777360.Finally, GCF of Fractions for 5/76, 80/80, 40/776, 799/419 is 1/61777360.