GCD of 564, 390, 880, 262 Calculator

Given Input numbers are 564, 390, 880, 262

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

GCD of numbers is the greatest common divisor

So, the GCD (564, 390, 880, 262) = 2.

Given numbers are 564, 390, 880, 262

The list of prime factors of all numbers are

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 262 are 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 564, 390, 880, 262 is 2.

Given numbers are 564, 390, 880, 262

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

Apply this formula for all numbers.

Step1:

LCM(564, 390) = 36660

GCD(564, 390) = ( 564 x 390 ) / 36660

= 564 / 390

= 564

Step2:

LCM(6, 880) = 2640

GCD(6, 880) = ( 6 x 880 ) / 2640

= 6 / 880

= 6

Step3:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

So, Greatest Common Divisor of 564, 390, 880, 262 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 339, 131, 667
• GCD of 325, 695, 829, 852
• GCD of 232, 354, 452, 351
• GCD of 456, 561, 516, 549
• GCD of 221, 586, 931, 573

Given numbers are 564, 390, 880, 262
The greatest common divisor of numbers 564, 390, 880, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 390, 880, 262 is 2.

1. What is the GCD of 564, 390, 880, 262?

GCD of given numbers 564, 390, 880, 262 is 2

2. How to calculate the greatest common divisor of 564, 390, 880, 262?

We can find the highest common divisor of 564, 390, 880, 262 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, 390, 880, 262 i.e 2.

3. How can I use the GCD of 564, 390, 880, 262Calculator?

Out the numbers 564, 390, 880, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.