GCD of 164, 196, 792, 524 Calculator

Given Input numbers are 164, 196, 792, 524

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (164, 196, 792, 524) = 4.

Given numbers are 164, 196, 792, 524

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2²

Therefore, GCD of 164, 196, 792, 524 is 4.

Given numbers are 164, 196, 792, 524

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

Apply this formula for all numbers.

Step1:

LCM(164, 196) = 8036

GCD(164, 196) = ( 164 x 196 ) / 8036

= 164 / 196

= 164

Step2:

LCM(4, 792) = 792

GCD(4, 792) = ( 4 x 792 ) / 792

= 4 / 792

= 4

Step3:

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

= 4 / 524

= 4

So, Greatest Common Divisor of 164, 196, 792, 524 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 677, 631, 288
• GCD of 884, 626, 634, 440
• GCD of 915, 674, 617, 743
• GCD of 660, 502, 159, 841
• GCD of 918, 692, 853, 759

Given numbers are 164, 196, 792, 524
The greatest common divisor of numbers 164, 196, 792, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 196, 792, 524 is 4.

1. What is the GCD of 164, 196, 792, 524?

GCD of given numbers 164, 196, 792, 524 is 4

2. How to calculate the greatest common divisor of 164, 196, 792, 524?

We can find the highest common divisor of 164, 196, 792, 524 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 164, 196, 792, 524 i.e 4.

3. How can I use the GCD of 164, 196, 792, 524Calculator?

Out the numbers 164, 196, 792, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.