GCD of 360, 219, 69, 147 Calculator

Given Input numbers are 360, 219, 69, 147

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

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 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (360, 219, 69, 147) = 3.

Given numbers are 360, 219, 69, 147

The list of prime factors of all numbers are

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

Prime factors of 219 are 3 x 73

Prime factors of 69 are 3 x 23

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 360, 219, 69, 147 is 3.

Given numbers are 360, 219, 69, 147

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

Apply this formula for all numbers.

Step1:

LCM(360, 219) = 26280

GCD(360, 219) = ( 360 x 219 ) / 26280

= 360 / 219

= 360

Step2:

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

= 3 / 69

= 3

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 360, 219, 69, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 779, 62, 623
• GCD of 857, 939, 43, 509
• GCD of 887, 481, 93, 983
• GCD of 938, 126, 65, 910
• GCD of 288, 839, 80, 461

Given numbers are 360, 219, 69, 147
The greatest common divisor of numbers 360, 219, 69, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 219, 69, 147 is 3.

1. What is the GCD of 360, 219, 69, 147?

GCD of given numbers 360, 219, 69, 147 is 3

2. How to calculate the greatest common divisor of 360, 219, 69, 147?

We can find the highest common divisor of 360, 219, 69, 147 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 360, 219, 69, 147 i.e 3.

3. How can I use the GCD of 360, 219, 69, 147Calculator?

Out the numbers 360, 219, 69, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.