GCD of 564, 747, 657, 804 Calculator

Given Input numbers are 564, 747, 657, 804

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (564, 747, 657, 804) = 3.

Given numbers are 564, 747, 657, 804

The list of prime factors of all numbers are

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

Prime factors of 747 are 3 x 3 x 83

Prime factors of 657 are 3 x 3 x 73

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 564, 747, 657, 804 is 3.

Given numbers are 564, 747, 657, 804

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

Apply this formula for all numbers.

Step1:

LCM(564, 747) = 140436

GCD(564, 747) = ( 564 x 747 ) / 140436

= 564 / 747

= 564

Step2:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

Step3:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3

So, Greatest Common Divisor of 564, 747, 657, 804 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 507, 178, 239, 567
• GCD of 585, 669, 776, 434
• GCD of 931, 266, 755, 647
• GCD of 943, 542, 312, 659
• GCD of 714, 608, 658, 561

Given numbers are 564, 747, 657, 804
The greatest common divisor of numbers 564, 747, 657, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 747, 657, 804 is 3.

1. What is the GCD of 564, 747, 657, 804?

GCD of given numbers 564, 747, 657, 804 is 3

2. How to calculate the greatest common divisor of 564, 747, 657, 804?

We can find the highest common divisor of 564, 747, 657, 804 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, 747, 657, 804 i.e 3.

3. How can I use the GCD of 564, 747, 657, 804Calculator?

Out the numbers 564, 747, 657, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.