Greatest Common Factor of 13/456, 69/707, 300/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/456, 69/707, 300/162

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 13/456,69/707,300/162

Given fractions are 13/456,69/707,300/162

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 13,69,300

Greatest Common Factor of Numerators i.e. GCF of 13,69,300 is 1 .

LCM of Denominators means LCM of 456,707,162 as per the given fractions.

LCM of 456,707,162 is 8704584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,69,300

GCF of Fractions 13/456,69/707,300/162 is 1/8704584

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

Greatest Common Factor of 13,69,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,69,300 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 13,69,300 . The biggest common factor number is the GCF number.
So the greatest common factor 13,69,300 is 1.

Lets's calculate LCM of 456,707,162

2 456, 707, 162
3 228, 707, 81
76, 707, 27

∴ So the LCM of the given numbers is 2 x 3 x 76 x 707 x 27 = 8704584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8704584

Therefore, the GCF of Fractions 13/456,69/707,300/162 is 1/8704584

Least Common Multiple of 456,707,162 with GCF Formula

Least Common Multiple of 456,707,162 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 456,707,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,707,162) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(456,707,162) x common factors =1 x 6 = 6

LCM(456,707,162) = ( 456 × 707 × 162 ) / 6

LCM(456,707,162) = 52227504 / 6

LCM(456,707,162) = 8704584


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 13/456, 69/707, 300/162

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 13/456, 69/707, 300/162?

Answer: GCF of Numerators as per given numbers 13/456, 69/707, 300/162 is

GCF of Numerators i.e. for 13,69,300 is 1

LCM of denominators i.e. for 456,707,162 is 8704584.

Thus, GCF of Fractions is 1/8704584.Finally, GCF of Fractions for 13/456, 69/707, 300/162 is 1/8704584.