GCD of 846, 360, 72 Calculator

Given Input numbers are 846, 360, 72

In the factoring method, we have to find the divisors of all numbers

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

GCD of numbers is the greatest common divisor

So, the GCD (846, 360, 72) = 18.

Given numbers are 846, 360, 72

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 846, 360, 72 is 18.

Given numbers are 846, 360, 72

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(846, 360) = 16920

GCD(846, 360) = ( 846 x 360 ) / 16920

= 846 / 360

= 846

Step2:

LCM(18, 72) = 72

GCD(18, 72) = ( 18 x 72 ) / 72

= 18 / 72

= 18

So, Greatest Common Divisor of 846, 360, 72 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 697, 88
• GCD of 599, 700, 85
• GCD of 983, 202, 86
• GCD of 100, 810, 38
• GCD of 969, 594, 82

Given numbers are 846, 360, 72
The greatest common divisor of numbers 846, 360, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 360, 72 is 18.

1. What is the GCD of 846, 360, 72?

GCD of given numbers 846, 360, 72 is 18

2. How to calculate the greatest common divisor of 846, 360, 72?

We can find the highest common divisor of 846, 360, 72 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 846, 360, 72 i.e 18.

3. How can I use the GCD of 846, 360, 72Calculator?

Out the numbers 846, 360, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.