Greatest Common Factor of 13/345, 623/410, 682/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/345, 623/410, 682/516

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 13/345,623/410,682/516

Given fractions are 13/345,623/410,682/516

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 13,623,682

Greatest Common Factor of Numerators i.e. GCF of 13,623,682 is 1 .

LCM of Denominators means LCM of 345,410,516 as per the given fractions.

LCM of 345,410,516 is 2432940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,623,682

GCF of Fractions 13/345,623/410,682/516 is 1/2432940

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

Greatest Common Factor of 13,623,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,623,682 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 13,623,682 . The biggest common factor number is the GCF number.
So the greatest common factor 13,623,682 is 1.

Lets's calculate LCM of 345,410,516

2 345, 410, 516
3 345, 205, 258
5 115, 205, 86
23, 41, 86

∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 41 x 86 = 2432940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2432940

Therefore, the GCF of Fractions 13/345,623/410,682/516 is 1/2432940

Least Common Multiple of 345,410,516 with GCF Formula

Least Common Multiple of 345,410,516 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 345,410,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,410,516) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(345,410,516) x common factors =1 x 30 = 30

LCM(345,410,516) = ( 345 × 410 × 516 ) / 30

LCM(345,410,516) = 72988200 / 30

LCM(345,410,516) = 2432940


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 13/345, 623/410, 682/516

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 13/345, 623/410, 682/516?

Answer: GCF of Numerators as per given numbers 13/345, 623/410, 682/516 is

GCF of Numerators i.e. for 13,623,682 is 1

LCM of denominators i.e. for 345,410,516 is 2432940.

Thus, GCF of Fractions is 1/2432940.Finally, GCF of Fractions for 13/345, 623/410, 682/516 is 1/2432940.