GCD of 360, 975, 321, 557 Calculator

Given Input numbers are 360, 975, 321, 557

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

GCD of numbers is the greatest common divisor

So, the GCD (360, 975, 321, 557) = 1.

Given numbers are 360, 975, 321, 557

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 975 are 3 x 5 x 5 x 13

Prime factors of 321 are 3 x 107

Prime factors of 557 are 557

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

Given numbers are 360, 975, 321, 557

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

Apply this formula for all numbers.

Step1:

LCM(360, 975) = 23400

GCD(360, 975) = ( 360 x 975 ) / 23400

= 360 / 975

= 360

Step2:

LCM(15, 321) = 1605

GCD(15, 321) = ( 15 x 321 ) / 1605

= 15 / 321

= 15

Step3:

LCM(3, 557) = 1671

GCD(3, 557) = ( 3 x 557 ) / 1671

= 3 / 557

= 3

So, Greatest Common Divisor of 360, 975, 321, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 897, 135, 612
• GCD of 508, 506, 240, 911
• GCD of 498, 243, 790, 139
• GCD of 581, 853, 726, 248
• GCD of 670, 822, 203, 139

Given numbers are 360, 975, 321, 557
The greatest common divisor of numbers 360, 975, 321, 557 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 975, 321, 557 is 1.

1. What is the GCD of 360, 975, 321, 557?

GCD of given numbers 360, 975, 321, 557 is 1

2. How to calculate the greatest common divisor of 360, 975, 321, 557?

We can find the highest common divisor of 360, 975, 321, 557 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, 975, 321, 557 i.e 1.

3. How can I use the GCD of 360, 975, 321, 557Calculator?

Out the numbers 360, 975, 321, 557 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.