GCD of 364, 600, 282, 553 Calculator

Given Input numbers are 364, 600, 282, 553

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (364, 600, 282, 553) = 1.

Given numbers are 364, 600, 282, 553

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 282 are 2 x 3 x 47

Prime factors of 553 are 7 x 79

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

Given numbers are 364, 600, 282, 553

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

Apply this formula for all numbers.

Step1:

LCM(364, 600) = 54600

GCD(364, 600) = ( 364 x 600 ) / 54600

= 364 / 600

= 364

Step2:

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

= 4 / 282

= 4

Step3:

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

= 2 / 553

= 2

So, Greatest Common Divisor of 364, 600, 282, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 425, 467, 623
• GCD of 578, 613, 291, 222
• GCD of 932, 971, 382, 556
• GCD of 301, 178, 270, 735
• GCD of 486, 309, 180, 641

Given numbers are 364, 600, 282, 553
The greatest common divisor of numbers 364, 600, 282, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 600, 282, 553 is 1.

1. What is the GCD of 364, 600, 282, 553?

GCD of given numbers 364, 600, 282, 553 is 1

2. How to calculate the greatest common divisor of 364, 600, 282, 553?

We can find the highest common divisor of 364, 600, 282, 553 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 364, 600, 282, 553 i.e 1.

3. How can I use the GCD of 364, 600, 282, 553Calculator?

Out the numbers 364, 600, 282, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.