GCD of 258, 732, 260, 400 Calculator

Given Input numbers are 258, 732, 260, 400

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

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (258, 732, 260, 400) = 2.

Given numbers are 258, 732, 260, 400

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 732 are 2 x 2 x 3 x 61

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 258, 732, 260, 400 is 2.

Given numbers are 258, 732, 260, 400

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

Apply this formula for all numbers.

Step1:

LCM(258, 732) = 31476

GCD(258, 732) = ( 258 x 732 ) / 31476

= 258 / 732

= 258

Step2:

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

= 6 / 260

= 6

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 258, 732, 260, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 488, 421, 174
• GCD of 570, 361, 357, 196
• GCD of 178, 169, 894, 805
• GCD of 121, 520, 970, 752
• GCD of 257, 649, 702, 683

Given numbers are 258, 732, 260, 400
The greatest common divisor of numbers 258, 732, 260, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 732, 260, 400 is 2.

1. What is the GCD of 258, 732, 260, 400?

GCD of given numbers 258, 732, 260, 400 is 2

2. How to calculate the greatest common divisor of 258, 732, 260, 400?

We can find the highest common divisor of 258, 732, 260, 400 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 258, 732, 260, 400 i.e 2.

3. How can I use the GCD of 258, 732, 260, 400Calculator?

Out the numbers 258, 732, 260, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.