GCD of 150, 336, 135, 993 Calculator

Given Input numbers are 150, 336, 135, 993

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (150, 336, 135, 993) = 3.

Given numbers are 150, 336, 135, 993

The list of prime factors of all numbers are

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

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 993 are 3 x 331

The highest common occurrence is 3¹

Therefore, GCD of 150, 336, 135, 993 is 3.

Given numbers are 150, 336, 135, 993

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

Apply this formula for all numbers.

Step1:

LCM(150, 336) = 8400

GCD(150, 336) = ( 150 x 336 ) / 8400

= 150 / 336

= 150

Step2:

LCM(6, 135) = 270

GCD(6, 135) = ( 6 x 135 ) / 270

= 6 / 135

= 6

Step3:

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

= 3 / 993

= 3

So, Greatest Common Divisor of 150, 336, 135, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 290, 748, 250
• GCD of 334, 632, 836, 681
• GCD of 989, 373, 917, 289
• GCD of 414, 841, 294, 631
• GCD of 605, 886, 979, 740

Given numbers are 150, 336, 135, 993
The greatest common divisor of numbers 150, 336, 135, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 336, 135, 993 is 3.

1. What is the GCD of 150, 336, 135, 993?

GCD of given numbers 150, 336, 135, 993 is 3

2. How to calculate the greatest common divisor of 150, 336, 135, 993?

We can find the highest common divisor of 150, 336, 135, 993 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, 336, 135, 993 i.e 3.

3. How can I use the GCD of 150, 336, 135, 993Calculator?

Out the numbers 150, 336, 135, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.