Greatest Common Factor of 3/65, 99/83, 14/643, 718/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/65, 99/83, 14/643, 718/400

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 3/65,99/83,14/643,718/400

Given fractions are 3/65,99/83,14/643,718/400

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 3,99,14,718

Greatest Common Factor of Numerators i.e. GCF of 3,99,14,718 is 1 .

LCM of Denominators means LCM of 65,83,643,400 as per the given fractions.

LCM of 65,83,643,400 is 277518800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,99,14,718

GCF of Fractions 3/65,99/83,14/643,718/400 is 1/277518800

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

Greatest Common Factor of 3,99,14,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,99,14,718 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 3,99,14,718 . The biggest common factor number is the GCF number.
So the greatest common factor 3,99,14,718 is 1.

Lets's calculate LCM of 65,83,643,400

5 65, 83, 643, 400
13, 83, 643, 80

∴ So the LCM of the given numbers is 5 x 13 x 83 x 643 x 80 = 277518800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277518800

Therefore, the GCF of Fractions 3/65,99/83,14/643,718/400 is 1/277518800

Least Common Multiple of 65,83,643,400 with GCF Formula

Least Common Multiple of 65,83,643,400 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 65,83,643,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,83,643,400) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(65,83,643,400) x common factors =1 x 5 = 5

LCM(65,83,643,400) = ( 65 × 83 × 643 × 400 ) / 5

LCM(65,83,643,400) = 1387594000 / 5

LCM(65,83,643,400) = 277518800


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 3/65, 99/83, 14/643, 718/400

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 3/65, 99/83, 14/643, 718/400?

Answer: GCF of Numerators as per given numbers 3/65, 99/83, 14/643, 718/400 is

GCF of Numerators i.e. for 3,99,14,718 is 1

LCM of denominators i.e. for 65,83,643,400 is 277518800.

Thus, GCF of Fractions is 1/277518800.Finally, GCF of Fractions for 3/65, 99/83, 14/643, 718/400 is 1/277518800.