GCD of 360, 748, 565, 597 Calculator

Given Input numbers are 360, 748, 565, 597

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

GCD of numbers is the greatest common divisor

So, the GCD (360, 748, 565, 597) = 1.

Given numbers are 360, 748, 565, 597

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 748 are 2 x 2 x 11 x 17

Prime factors of 565 are 5 x 113

Prime factors of 597 are 3 x 199

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

Given numbers are 360, 748, 565, 597

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

Apply this formula for all numbers.

Step1:

LCM(360, 748) = 67320

GCD(360, 748) = ( 360 x 748 ) / 67320

= 360 / 748

= 360

Step2:

LCM(4, 565) = 2260

GCD(4, 565) = ( 4 x 565 ) / 2260

= 4 / 565

= 4

Step3:

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

= 1 / 597

= 1

So, Greatest Common Divisor of 360, 748, 565, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 185, 282, 774
• GCD of 197, 417, 690, 431
• GCD of 764, 681, 353, 764
• GCD of 477, 185, 998, 752
• GCD of 335, 692, 639, 375

Given numbers are 360, 748, 565, 597
The greatest common divisor of numbers 360, 748, 565, 597 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 748, 565, 597 is 1.

1. What is the GCD of 360, 748, 565, 597?

GCD of given numbers 360, 748, 565, 597 is 1

2. How to calculate the greatest common divisor of 360, 748, 565, 597?

We can find the highest common divisor of 360, 748, 565, 597 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, 748, 565, 597 i.e 1.

3. How can I use the GCD of 360, 748, 565, 597Calculator?

Out the numbers 360, 748, 565, 597 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.