Greatest Common Factor of 58/65, 65/35, 51/40, 49/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/65, 65/35, 51/40, 49/104

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 58/65,65/35,51/40,49/104

Given fractions are 58/65,65/35,51/40,49/104

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 58,65,51,49

Greatest Common Factor of Numerators i.e. GCF of 58,65,51,49 is 1 .

LCM of Denominators means LCM of 65,35,40,104 as per the given fractions.

LCM of 65,35,40,104 is 3640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,65,51,49

GCF of Fractions 58/65,65/35,51/40,49/104 is 1/3640

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

Greatest Common Factor of 58,65,51,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,65,51,49 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 49

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

1,7,49

Greatest Common Factor

We found the factors 58,65,51,49 . The biggest common factor number is the GCF number.
So the greatest common factor 58,65,51,49 is 1.

Lets's calculate LCM of 65,35,40,104

2 65, 35, 40, 104
2 65, 35, 20, 52
2 65, 35, 10, 26
5 65, 35, 5, 13
13 13, 7, 1, 13
1, 7, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 7 x 1 x 1 = 3640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640

Therefore, the GCF of Fractions 58/65,65/35,51/40,49/104 is 1/3640

Least Common Multiple of 65,35,40,104 with GCF Formula

Least Common Multiple of 65,35,40,104 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 65,35,40,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,35,40,104) = 1

common factors(in case of two or more numbers have common factors) = 2600

GCF(65,35,40,104) x common factors =1 x 2600 = 2600

LCM(65,35,40,104) = ( 65 × 35 × 40 × 104 ) / 2600

LCM(65,35,40,104) = 9464000 / 2600

LCM(65,35,40,104) = 3640


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 58/65, 65/35, 51/40, 49/104

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 58/65, 65/35, 51/40, 49/104?

Answer: GCF of Numerators as per given numbers 58/65, 65/35, 51/40, 49/104 is

GCF of Numerators i.e. for 58,65,51,49 is 1

LCM of denominators i.e. for 65,35,40,104 is 3640.

Thus, GCF of Fractions is 1/3640.Finally, GCF of Fractions for 58/65, 65/35, 51/40, 49/104 is 1/3640.