GCD of 150, 638, 309, 302 Calculator

Given Input numbers are 150, 638, 309, 302

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (150, 638, 309, 302) = 1.

Given numbers are 150, 638, 309, 302

The list of prime factors of all numbers are

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

Prime factors of 638 are 2 x 11 x 29

Prime factors of 309 are 3 x 103

Prime factors of 302 are 2 x 151

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

Given numbers are 150, 638, 309, 302

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

Apply this formula for all numbers.

Step1:

LCM(150, 638) = 47850

GCD(150, 638) = ( 150 x 638 ) / 47850

= 150 / 638

= 150

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

= 1 / 302

= 1

So, Greatest Common Divisor of 150, 638, 309, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 608, 963, 359
• GCD of 549, 666, 865, 214
• GCD of 443, 757, 908, 171
• GCD of 300, 954, 582, 268
• GCD of 167, 397, 920, 956

Given numbers are 150, 638, 309, 302
The greatest common divisor of numbers 150, 638, 309, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 638, 309, 302 is 1.

1. What is the GCD of 150, 638, 309, 302?

GCD of given numbers 150, 638, 309, 302 is 1

2. How to calculate the greatest common divisor of 150, 638, 309, 302?

We can find the highest common divisor of 150, 638, 309, 302 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, 638, 309, 302 i.e 1.

3. How can I use the GCD of 150, 638, 309, 302Calculator?

Out the numbers 150, 638, 309, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.