GCD of 312, 150, 654, 526 Calculator

Given Input numbers are 312, 150, 654, 526

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 526 :

The positive integer divisors of 526 that completely divides 526 are.

1, 2, 263, 526

GCD of numbers is the greatest common divisor

So, the GCD (312, 150, 654, 526) = 2.

Given numbers are 312, 150, 654, 526

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 526 are 2 x 263

The highest common occurrence is 2¹

Therefore, GCD of 312, 150, 654, 526 is 2.

Given numbers are 312, 150, 654, 526

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

Apply this formula for all numbers.

Step1:

LCM(312, 150) = 7800

GCD(312, 150) = ( 312 x 150 ) / 7800

= 312 / 150

= 312

Step2:

LCM(6, 654) = 654

GCD(6, 654) = ( 6 x 654 ) / 654

= 6 / 654

= 6

Step3:

LCM(6, 526) = 1578

GCD(6, 526) = ( 6 x 526 ) / 1578

= 6 / 526

= 6

So, Greatest Common Divisor of 312, 150, 654, 526 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 249, 474, 704
• GCD of 841, 627, 723, 710
• GCD of 773, 133, 846, 155
• GCD of 908, 482, 852, 141
• GCD of 971, 146, 335, 496

Given numbers are 312, 150, 654, 526
The greatest common divisor of numbers 312, 150, 654, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 150, 654, 526 is 2.

1. What is the GCD of 312, 150, 654, 526?

GCD of given numbers 312, 150, 654, 526 is 2

2. How to calculate the greatest common divisor of 312, 150, 654, 526?

We can find the highest common divisor of 312, 150, 654, 526 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 312, 150, 654, 526 i.e 2.

3. How can I use the GCD of 312, 150, 654, 526Calculator?

Out the numbers 312, 150, 654, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.