GCD of 356, 530, 274, 564 Calculator

Given Input numbers are 356, 530, 274, 564

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 274 :

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

1, 2, 137, 274

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

GCD of numbers is the greatest common divisor

So, the GCD (356, 530, 274, 564) = 2.

Given numbers are 356, 530, 274, 564

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 530 are 2 x 5 x 53

Prime factors of 274 are 2 x 137

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

The highest common occurrence is 2¹

Therefore, GCD of 356, 530, 274, 564 is 2.

Given numbers are 356, 530, 274, 564

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

Apply this formula for all numbers.

Step1:

LCM(356, 530) = 94340

GCD(356, 530) = ( 356 x 530 ) / 94340

= 356 / 530

= 356

Step2:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 356, 530, 274, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 885, 156, 575
• GCD of 680, 682, 659, 169
• GCD of 324, 450, 356, 778
• GCD of 320, 797, 378, 967
• GCD of 259, 427, 218, 454

Given numbers are 356, 530, 274, 564
The greatest common divisor of numbers 356, 530, 274, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 530, 274, 564 is 2.

1. What is the GCD of 356, 530, 274, 564?

GCD of given numbers 356, 530, 274, 564 is 2

2. How to calculate the greatest common divisor of 356, 530, 274, 564?

We can find the highest common divisor of 356, 530, 274, 564 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 356, 530, 274, 564 i.e 2.

3. How can I use the GCD of 356, 530, 274, 564Calculator?

Out the numbers 356, 530, 274, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.