GCD of 258, 356, 138, 253 Calculator

Given Input numbers are 258, 356, 138, 253

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (258, 356, 138, 253) = 1.

Given numbers are 258, 356, 138, 253

The list of prime factors of all numbers are

Prime factors of 258 are 2 x 3 x 43

Prime factors of 356 are 2 x 2 x 89

Prime factors of 138 are 2 x 3 x 23

Prime factors of 253 are 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 258, 356, 138, 253

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

Apply this formula for all numbers.

Step1:

LCM(258, 356) = 45924

GCD(258, 356) = ( 258 x 356 ) / 45924

= 258 / 356

= 258

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 253) = 506

GCD(2, 253) = ( 2 x 253 ) / 506

= 2 / 253

= 2

So, Greatest Common Divisor of 258, 356, 138, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 920, 398, 279
• GCD of 179, 962, 310, 769
• GCD of 596, 863, 855, 431
• GCD of 375, 869, 905, 293
• GCD of 250, 431, 344, 667

Given numbers are 258, 356, 138, 253
The greatest common divisor of numbers 258, 356, 138, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 258, 356, 138, 253 is 1.

1. What is the GCD of 258, 356, 138, 253?

GCD of given numbers 258, 356, 138, 253 is 1

2. How to calculate the greatest common divisor of 258, 356, 138, 253?

We can find the highest common divisor of 258, 356, 138, 253 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, 356, 138, 253 i.e 1.

3. How can I use the GCD of 258, 356, 138, 253Calculator?

Out the numbers 258, 356, 138, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.