GCD of 564, 310, 135, 362 Calculator

Given Input numbers are 564, 310, 135, 362

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (564, 310, 135, 362) = 1.

Given numbers are 564, 310, 135, 362

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 310 are 2 x 5 x 31

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 362 are 2 x 181

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

Given numbers are 564, 310, 135, 362

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

Apply this formula for all numbers.

Step1:

LCM(564, 310) = 87420

GCD(564, 310) = ( 564 x 310 ) / 87420

= 564 / 310

= 564

Step2:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1

So, Greatest Common Divisor of 564, 310, 135, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 261, 115, 425
• GCD of 775, 148, 896, 425
• GCD of 745, 681, 678, 889
• GCD of 422, 529, 455, 916
• GCD of 585, 949, 707, 465

Given numbers are 564, 310, 135, 362
The greatest common divisor of numbers 564, 310, 135, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 310, 135, 362 is 1.

1. What is the GCD of 564, 310, 135, 362?

GCD of given numbers 564, 310, 135, 362 is 1

2. How to calculate the greatest common divisor of 564, 310, 135, 362?

We can find the highest common divisor of 564, 310, 135, 362 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 564, 310, 135, 362 i.e 1.

3. How can I use the GCD of 564, 310, 135, 362Calculator?

Out the numbers 564, 310, 135, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.