GCD of 264, 528, 846, 506 Calculator

Given Input numbers are 264, 528, 846, 506

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 506 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (264, 528, 846, 506) = 2.

Given numbers are 264, 528, 846, 506

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 264, 528, 846, 506 is 2.

Given numbers are 264, 528, 846, 506

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

Apply this formula for all numbers.

Step1:

LCM(264, 528) = 528

GCD(264, 528) = ( 264 x 528 ) / 528

= 264 / 528

= 264

Step2:

LCM(264, 846) = 37224

GCD(264, 846) = ( 264 x 846 ) / 37224

= 264 / 846

= 264

Step3:

LCM(6, 506) = 1518

GCD(6, 506) = ( 6 x 506 ) / 1518

= 6 / 506

= 6

So, Greatest Common Divisor of 264, 528, 846, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 448, 641, 334
• GCD of 797, 897, 973, 308
• GCD of 956, 150, 397, 245
• GCD of 283, 347, 337, 745
• GCD of 730, 967, 875, 453

Given numbers are 264, 528, 846, 506
The greatest common divisor of numbers 264, 528, 846, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 528, 846, 506 is 2.

1. What is the GCD of 264, 528, 846, 506?

GCD of given numbers 264, 528, 846, 506 is 2

2. How to calculate the greatest common divisor of 264, 528, 846, 506?

We can find the highest common divisor of 264, 528, 846, 506 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 264, 528, 846, 506 i.e 2.

3. How can I use the GCD of 264, 528, 846, 506Calculator?

Out the numbers 264, 528, 846, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.