GCD of 132, 678, 159, 525 Calculator

Given Input numbers are 132, 678, 159, 525

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (132, 678, 159, 525) = 3.

Given numbers are 132, 678, 159, 525

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 678 are 2 x 3 x 113

Prime factors of 159 are 3 x 53

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 132, 678, 159, 525 is 3.

Given numbers are 132, 678, 159, 525

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

Apply this formula for all numbers.

Step1:

LCM(132, 678) = 14916

GCD(132, 678) = ( 132 x 678 ) / 14916

= 132 / 678

= 132

Step2:

LCM(6, 159) = 318

GCD(6, 159) = ( 6 x 159 ) / 318

= 6 / 159

= 6

Step3:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

So, Greatest Common Divisor of 132, 678, 159, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 746, 264, 200
• GCD of 236, 989, 803, 449
• GCD of 561, 553, 571, 797
• GCD of 526, 697, 576, 518
• GCD of 803, 163, 467, 597

Given numbers are 132, 678, 159, 525
The greatest common divisor of numbers 132, 678, 159, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 678, 159, 525 is 3.

1. What is the GCD of 132, 678, 159, 525?

GCD of given numbers 132, 678, 159, 525 is 3

2. How to calculate the greatest common divisor of 132, 678, 159, 525?

We can find the highest common divisor of 132, 678, 159, 525 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 132, 678, 159, 525 i.e 3.

3. How can I use the GCD of 132, 678, 159, 525Calculator?

Out the numbers 132, 678, 159, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.