GCD of 150, 726, 612, 147 Calculator

Given Input numbers are 150, 726, 612, 147

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (150, 726, 612, 147) = 3.

Given numbers are 150, 726, 612, 147

The list of prime factors of all numbers are

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

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 150, 726, 612, 147 is 3.

Given numbers are 150, 726, 612, 147

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

Apply this formula for all numbers.

Step1:

LCM(150, 726) = 18150

GCD(150, 726) = ( 150 x 726 ) / 18150

= 150 / 726

= 150

Step2:

LCM(6, 612) = 612

GCD(6, 612) = ( 6 x 612 ) / 612

= 6 / 612

= 6

Step3:

LCM(6, 147) = 294

GCD(6, 147) = ( 6 x 147 ) / 294

= 6 / 147

= 6

So, Greatest Common Divisor of 150, 726, 612, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 865, 687, 739
• GCD of 102, 928, 567, 354
• GCD of 152, 352, 235, 747
• GCD of 557, 779, 106, 432
• GCD of 932, 811, 894, 873

Given numbers are 150, 726, 612, 147
The greatest common divisor of numbers 150, 726, 612, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 726, 612, 147 is 3.

1. What is the GCD of 150, 726, 612, 147?

GCD of given numbers 150, 726, 612, 147 is 3

2. How to calculate the greatest common divisor of 150, 726, 612, 147?

We can find the highest common divisor of 150, 726, 612, 147 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, 726, 612, 147 i.e 3.

3. How can I use the GCD of 150, 726, 612, 147Calculator?

Out the numbers 150, 726, 612, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.