Greatest Common Factor of 5665/304, 6782/5395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5665/304, 6782/5395

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 5665/304,6782/5395

Given fractions are 5665/304,6782/5395

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 5665,6782

Greatest Common Factor of Numerators i.e. GCF of 5665,6782 is 1 .

LCM of Denominators means LCM of 304,5395 as per the given fractions.

LCM of 304,5395 is 1640080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5665,6782

GCF of Fractions 5665/304,6782/5395 is 1/1640080

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

Greatest Common Factor of 5665,6782 By Matching Biggest Common Factor Method

Greatest Common Factor of 5665,6782 By Matching Biggest Common Factor Method

Factors of 5665

List of positive integer factors of 5665 that divides 5665 without a remainder.

1,5,11,55,103,515,1133,5665

Factors of 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1,2,3391,6782

Greatest Common Factor

We found the factors 5665,6782 . The biggest common factor number is the GCF number.
So the greatest common factor 5665,6782 is 1.

Lets's calculate LCM of 304,5395

Given numbers has no common factors except 1. So, there LCM is their product i.e 1640080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1640080

Therefore, the GCF of Fractions 5665/304,6782/5395 is 1/1640080

Least Common Multiple of 304,5395 with GCF Formula

Least Common Multiple of 304,5395 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 304,5395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,5395) = 1

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

GCF(304,5395) x common factors =1 x 1 = 1

LCM(304,5395) = ( 304 × 5395 ) / 1

LCM(304,5395) = 1640080 / 1

LCM(304,5395) = 1640080


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 5665/304, 6782/5395

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 5665/304, 6782/5395?

Answer: GCF of Numerators as per given numbers 5665/304, 6782/5395 is

GCF of Numerators i.e. for 5665,6782 is 1

LCM of denominators i.e. for 304,5395 is 1640080.

Thus, GCF of Fractions is 1/1640080.Finally, GCF of Fractions for 5665/304, 6782/5395 is 1/1640080.