GCD of 692, 552, 396, 132 Calculator

Given Input numbers are 692, 552, 396, 132

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

GCD of numbers is the greatest common divisor

So, the GCD (692, 552, 396, 132) = 4.

Given numbers are 692, 552, 396, 132

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

The highest common occurrence is 2²

Therefore, GCD of 692, 552, 396, 132 is 4.

Given numbers are 692, 552, 396, 132

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

Apply this formula for all numbers.

Step1:

LCM(692, 552) = 95496

GCD(692, 552) = ( 692 x 552 ) / 95496

= 692 / 552

= 692

Step2:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4

Step3:

LCM(4, 132) = 132

GCD(4, 132) = ( 4 x 132 ) / 132

= 4 / 132

= 4

So, Greatest Common Divisor of 692, 552, 396, 132 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 584, 356, 759
• GCD of 104, 479, 310, 637
• GCD of 589, 852, 443, 818
• GCD of 149, 847, 667, 864
• GCD of 714, 769, 190, 349

Given numbers are 692, 552, 396, 132
The greatest common divisor of numbers 692, 552, 396, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 552, 396, 132 is 4.

1. What is the GCD of 692, 552, 396, 132?

GCD of given numbers 692, 552, 396, 132 is 4

2. How to calculate the greatest common divisor of 692, 552, 396, 132?

We can find the highest common divisor of 692, 552, 396, 132 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 692, 552, 396, 132 i.e 4.

3. How can I use the GCD of 692, 552, 396, 132Calculator?

Out the numbers 692, 552, 396, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.