GCD of 865, 220, 600, 660 Calculator

Given Input numbers are 865, 220, 600, 660

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

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (865, 220, 600, 660) = 5.

Given numbers are 865, 220, 600, 660

The list of prime factors of all numbers are

Prime factors of 865 are 5 x 173

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 5¹

Therefore, GCD of 865, 220, 600, 660 is 5.

Given numbers are 865, 220, 600, 660

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

Apply this formula for all numbers.

Step1:

LCM(865, 220) = 38060

GCD(865, 220) = ( 865 x 220 ) / 38060

= 865 / 220

= 865

Step2:

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

= 5 / 600

= 5

Step3:

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

= 5 / 660

= 5

So, Greatest Common Divisor of 865, 220, 600, 660 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 745, 184, 413, 242
• GCD of 733, 889, 581, 475
• GCD of 337, 353, 300, 222
• GCD of 580, 304, 844, 452
• GCD of 257, 517, 507, 782

Given numbers are 865, 220, 600, 660
The greatest common divisor of numbers 865, 220, 600, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 865, 220, 600, 660 is 5.

1. What is the GCD of 865, 220, 600, 660?

GCD of given numbers 865, 220, 600, 660 is 5

2. How to calculate the greatest common divisor of 865, 220, 600, 660?

We can find the highest common divisor of 865, 220, 600, 660 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 865, 220, 600, 660 i.e 5.

3. How can I use the GCD of 865, 220, 600, 660Calculator?

Out the numbers 865, 220, 600, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.