Greatest Common Factor of 5058/65, 5190/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5058/65, 5190/417

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 5058/65,5190/417

Given fractions are 5058/65,5190/417

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 5058,5190

Greatest Common Factor of Numerators i.e. GCF of 5058,5190 is 6 .

LCM of Denominators means LCM of 65,417 as per the given fractions.

LCM of 65,417 is 27105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5058,5190

GCF of Fractions 5058/65,5190/417 is 6/27105

2 5058, 5190
3 2529, 2595
843, 865

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5058,5190 By Matching Biggest Common Factor Method

Greatest Common Factor of 5058,5190 By Matching Biggest Common Factor Method

Factors of 5058

List of positive integer factors of 5058 that divides 5058 without a remainder.

1,2,3,6,9,18,281,562,843,1686,2529,5058

Factors of 5190

List of positive integer factors of 5190 that divides 5190 without a remainder.

1,2,3,5,6,10,15,30,173,346,519,865,1038,1730,2595,5190

Greatest Common Factor

We found the factors 5058,5190 . The biggest common factor number is the GCF number.
So the greatest common factor 5058,5190 is 6.

Lets's calculate LCM of 65,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 27105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27105

Therefore, the GCF of Fractions 5058/65,5190/417 is 6/27105

Least Common Multiple of 65,417 with GCF Formula

Least Common Multiple of 65,417 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 65,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,417) = 1

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

GCF(65,417) x common factors =1 x 1 = 1

LCM(65,417) = ( 65 × 417 ) / 1

LCM(65,417) = 27105 / 1

LCM(65,417) = 27105


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 5058/65, 5190/417

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 5058/65, 5190/417?

Answer: GCF of Numerators as per given numbers 5058/65, 5190/417 is

GCF of Numerators i.e. for 5058,5190 is 6

LCM of denominators i.e. for 65,417 is 27105.

Thus, GCF of Fractions is 6/27105.Finally, GCF of Fractions for 5058/65, 5190/417 is 6/27105.