GCD of 355, 360, 178, 220 Calculator

Given Input numbers are 355, 360, 178, 220

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

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 (355, 360, 178, 220) = 1.

Given numbers are 355, 360, 178, 220

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

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

Prime factors of 178 are 2 x 89

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 355, 360, 178, 220

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

Apply this formula for all numbers.

Step1:

LCM(355, 360) = 25560

GCD(355, 360) = ( 355 x 360 ) / 25560

= 355 / 360

= 355

Step2:

LCM(5, 178) = 890

GCD(5, 178) = ( 5 x 178 ) / 890

= 5 / 178

= 5

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 355, 360, 178, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 887, 350, 981
• GCD of 596, 912, 956, 932
• GCD of 872, 887, 200, 731
• GCD of 514, 899, 979, 954
• GCD of 281, 548, 898, 164

Given numbers are 355, 360, 178, 220
The greatest common divisor of numbers 355, 360, 178, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 360, 178, 220 is 1.

1. What is the GCD of 355, 360, 178, 220?

GCD of given numbers 355, 360, 178, 220 is 1

2. How to calculate the greatest common divisor of 355, 360, 178, 220?

We can find the highest common divisor of 355, 360, 178, 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 355, 360, 178, 220 i.e 1.

3. How can I use the GCD of 355, 360, 178, 220Calculator?

Out the numbers 355, 360, 178, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.