Greatest Common Factor of 59/56, 47/41, 49/84, 413/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/56, 47/41, 49/84, 413/82

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 59/56,47/41,49/84,413/82

Given fractions are 59/56,47/41,49/84,413/82

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 59,47,49,413

Greatest Common Factor of Numerators i.e. GCF of 59,47,49,413 is 1 .

LCM of Denominators means LCM of 56,41,84,82 as per the given fractions.

LCM of 56,41,84,82 is 6888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,47,49,413

GCF of Fractions 59/56,47/41,49/84,413/82 is 1/6888

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

Greatest Common Factor of 59,47,49,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,47,49,413 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 59,47,49,413 . The biggest common factor number is the GCF number.
So the greatest common factor 59,47,49,413 is 1.

Lets's calculate LCM of 56,41,84,82

2 56, 41, 84, 82
2 28, 41, 42, 41
7 14, 41, 21, 41
41 2, 41, 3, 41
2, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 2 x 1 x 3 x 1 = 6888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6888

Therefore, the GCF of Fractions 59/56,47/41,49/84,413/82 is 1/6888

Least Common Multiple of 56,41,84,82 with GCF Formula

Least Common Multiple of 56,41,84,82 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 56,41,84,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,41,84,82) = 1

common factors(in case of two or more numbers have common factors) = 2296

GCF(56,41,84,82) x common factors =1 x 2296 = 2296

LCM(56,41,84,82) = ( 56 × 41 × 84 × 82 ) / 2296

LCM(56,41,84,82) = 15814848 / 2296

LCM(56,41,84,82) = 6888


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 59/56, 47/41, 49/84, 413/82

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 59/56, 47/41, 49/84, 413/82?

Answer: GCF of Numerators as per given numbers 59/56, 47/41, 49/84, 413/82 is

GCF of Numerators i.e. for 59,47,49,413 is 1

LCM of denominators i.e. for 56,41,84,82 is 6888.

Thus, GCF of Fractions is 1/6888.Finally, GCF of Fractions for 59/56, 47/41, 49/84, 413/82 is 1/6888.