GCD of 150, 162, 242, 902 Calculator

Given Input numbers are 150, 162, 242, 902

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

GCD of numbers is the greatest common divisor

So, the GCD (150, 162, 242, 902) = 2.

Given numbers are 150, 162, 242, 902

The list of prime factors of all numbers are

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 242 are 2 x 11 x 11

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 2¹

Therefore, GCD of 150, 162, 242, 902 is 2.

Given numbers are 150, 162, 242, 902

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

Apply this formula for all numbers.

Step1:

LCM(150, 162) = 4050

GCD(150, 162) = ( 150 x 162 ) / 4050

= 150 / 162

= 150

Step2:

LCM(6, 242) = 726

GCD(6, 242) = ( 6 x 242 ) / 726

= 6 / 242

= 6

Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2

So, Greatest Common Divisor of 150, 162, 242, 902 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 438, 221, 814
• GCD of 751, 391, 801, 623
• GCD of 317, 711, 123, 301
• GCD of 597, 969, 146, 617
• GCD of 835, 937, 907, 314

Given numbers are 150, 162, 242, 902
The greatest common divisor of numbers 150, 162, 242, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 162, 242, 902 is 2.

1. What is the GCD of 150, 162, 242, 902?

GCD of given numbers 150, 162, 242, 902 is 2

2. How to calculate the greatest common divisor of 150, 162, 242, 902?

We can find the highest common divisor of 150, 162, 242, 902 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, 162, 242, 902 i.e 2.

3. How can I use the GCD of 150, 162, 242, 902Calculator?

Out the numbers 150, 162, 242, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.