GCD of 150, 644, 58, 258 Calculator

Given Input numbers are 150, 644, 58, 258

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 258 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (150, 644, 58, 258) = 2.

Given numbers are 150, 644, 58, 258

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 58 are 2 x 29

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 150, 644, 58, 258 is 2.

Given numbers are 150, 644, 58, 258

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

Apply this formula for all numbers.

Step1:

LCM(150, 644) = 48300

GCD(150, 644) = ( 150 x 644 ) / 48300

= 150 / 644

= 150

Step2:

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

= 2 / 58

= 2

Step3:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2

So, Greatest Common Divisor of 150, 644, 58, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 226, 49, 352
• GCD of 724, 630, 15, 684
• GCD of 146, 444, 72, 322
• GCD of 868, 420, 93, 208
• GCD of 435, 126, 91, 573

Given numbers are 150, 644, 58, 258
The greatest common divisor of numbers 150, 644, 58, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 644, 58, 258 is 2.

1. What is the GCD of 150, 644, 58, 258?

GCD of given numbers 150, 644, 58, 258 is 2

2. How to calculate the greatest common divisor of 150, 644, 58, 258?

We can find the highest common divisor of 150, 644, 58, 258 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 150, 644, 58, 258 i.e 2.

3. How can I use the GCD of 150, 644, 58, 258Calculator?

Out the numbers 150, 644, 58, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.