GCD of 260, 408, 582, 252 Calculator

Given Input numbers are 260, 408, 582, 252

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (260, 408, 582, 252) = 2.

Given numbers are 260, 408, 582, 252

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 582 are 2 x 3 x 97

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 260, 408, 582, 252 is 2.

Given numbers are 260, 408, 582, 252

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

Apply this formula for all numbers.

Step1:

LCM(260, 408) = 26520

GCD(260, 408) = ( 260 x 408 ) / 26520

= 260 / 408

= 260

Step2:

LCM(4, 582) = 1164

GCD(4, 582) = ( 4 x 582 ) / 1164

= 4 / 582

= 4

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 260, 408, 582, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 672, 939, 210
• GCD of 789, 971, 204, 797
• GCD of 176, 364, 306, 196
• GCD of 355, 949, 828, 138
• GCD of 154, 777, 670, 984

Given numbers are 260, 408, 582, 252
The greatest common divisor of numbers 260, 408, 582, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 408, 582, 252 is 2.

1. What is the GCD of 260, 408, 582, 252?

GCD of given numbers 260, 408, 582, 252 is 2

2. How to calculate the greatest common divisor of 260, 408, 582, 252?

We can find the highest common divisor of 260, 408, 582, 252 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 260, 408, 582, 252 i.e 2.

3. How can I use the GCD of 260, 408, 582, 252Calculator?

Out the numbers 260, 408, 582, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.