GCD of 215, 720, 580, 560 Calculator

Given Input numbers are 215, 720, 580, 560

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

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (215, 720, 580, 560) = 5.

Given numbers are 215, 720, 580, 560

The list of prime factors of all numbers are

Prime factors of 215 are 5 x 43

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 215, 720, 580, 560 is 5.

Given numbers are 215, 720, 580, 560

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

Apply this formula for all numbers.

Step1:

LCM(215, 720) = 30960

GCD(215, 720) = ( 215 x 720 ) / 30960

= 215 / 720

= 215

Step2:

LCM(5, 580) = 580

GCD(5, 580) = ( 5 x 580 ) / 580

= 5 / 580

= 5

Step3:

LCM(5, 560) = 560

GCD(5, 560) = ( 5 x 560 ) / 560

= 5 / 560

= 5

So, Greatest Common Divisor of 215, 720, 580, 560 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 324, 613, 886
• GCD of 473, 491, 436, 117
• GCD of 719, 356, 706, 759
• GCD of 919, 675, 765, 507
• GCD of 464, 453, 396, 988

Given numbers are 215, 720, 580, 560
The greatest common divisor of numbers 215, 720, 580, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 215, 720, 580, 560 is 5.

1. What is the GCD of 215, 720, 580, 560?

GCD of given numbers 215, 720, 580, 560 is 5

2. How to calculate the greatest common divisor of 215, 720, 580, 560?

We can find the highest common divisor of 215, 720, 580, 560 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 215, 720, 580, 560 i.e 5.

3. How can I use the GCD of 215, 720, 580, 560Calculator?

Out the numbers 215, 720, 580, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.