GCD of 584, 506, 670, 652 Calculator

Given Input numbers are 584, 506, 670, 652

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (584, 506, 670, 652) = 2.

Given numbers are 584, 506, 670, 652

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 506 are 2 x 11 x 23

Prime factors of 670 are 2 x 5 x 67

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 584, 506, 670, 652 is 2.

Given numbers are 584, 506, 670, 652

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

Apply this formula for all numbers.

Step1:

LCM(584, 506) = 147752

GCD(584, 506) = ( 584 x 506 ) / 147752

= 584 / 506

= 584

Step2:

LCM(2, 670) = 670

GCD(2, 670) = ( 2 x 670 ) / 670

= 2 / 670

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 584, 506, 670, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 546, 531, 168
• GCD of 951, 597, 358, 645
• GCD of 634, 685, 395, 826
• GCD of 428, 391, 852, 992
• GCD of 845, 166, 695, 390

Given numbers are 584, 506, 670, 652
The greatest common divisor of numbers 584, 506, 670, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 506, 670, 652 is 2.

1. What is the GCD of 584, 506, 670, 652?

GCD of given numbers 584, 506, 670, 652 is 2

2. How to calculate the greatest common divisor of 584, 506, 670, 652?

We can find the highest common divisor of 584, 506, 670, 652 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 584, 506, 670, 652 i.e 2.

3. How can I use the GCD of 584, 506, 670, 652Calculator?

Out the numbers 584, 506, 670, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.