GCD of 360, 548, 870, 220 Calculator

Given Input numbers are 360, 548, 870, 220

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 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 548, 870, 220) = 2.

Given numbers are 360, 548, 870, 220

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 548 are 2 x 2 x 137

Prime factors of 870 are 2 x 3 x 5 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 360, 548, 870, 220 is 2.

Given numbers are 360, 548, 870, 220

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

Apply this formula for all numbers.

Step1:

LCM(360, 548) = 49320

GCD(360, 548) = ( 360 x 548 ) / 49320

= 360 / 548

= 360

Step2:

LCM(4, 870) = 1740

GCD(4, 870) = ( 4 x 870 ) / 1740

= 4 / 870

= 4

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 360, 548, 870, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 275, 877, 790
• GCD of 439, 834, 834, 603
• GCD of 598, 538, 931, 559
• GCD of 379, 327, 181, 535
• GCD of 210, 828, 912, 811

Given numbers are 360, 548, 870, 220
The greatest common divisor of numbers 360, 548, 870, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 548, 870, 220 is 2.

1. What is the GCD of 360, 548, 870, 220?

GCD of given numbers 360, 548, 870, 220 is 2

2. How to calculate the greatest common divisor of 360, 548, 870, 220?

We can find the highest common divisor of 360, 548, 870, 220 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, 548, 870, 220 i.e 2.

3. How can I use the GCD of 360, 548, 870, 220Calculator?

Out the numbers 360, 548, 870, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.