GCD of 564, 355, 274, 577 Calculator

Given Input numbers are 564, 355, 274, 577

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 355 :

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

1, 5, 71, 355

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (564, 355, 274, 577) = 1.

Given numbers are 564, 355, 274, 577

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 274 are 2 x 137

Prime factors of 577 are 577

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

Given numbers are 564, 355, 274, 577

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

Apply this formula for all numbers.

Step1:

LCM(564, 355) = 200220

GCD(564, 355) = ( 564 x 355 ) / 200220

= 564 / 355

= 564

Step2:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

Step3:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1

So, Greatest Common Divisor of 564, 355, 274, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 932, 270, 297
• GCD of 196, 727, 890, 617
• GCD of 502, 851, 589, 773
• GCD of 772, 115, 730, 326
• GCD of 344, 365, 424, 153

Given numbers are 564, 355, 274, 577
The greatest common divisor of numbers 564, 355, 274, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 355, 274, 577 is 1.

1. What is the GCD of 564, 355, 274, 577?

GCD of given numbers 564, 355, 274, 577 is 1

2. How to calculate the greatest common divisor of 564, 355, 274, 577?

We can find the highest common divisor of 564, 355, 274, 577 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, 355, 274, 577 i.e 1.

3. How can I use the GCD of 564, 355, 274, 577Calculator?

Out the numbers 564, 355, 274, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.