GCD of 164, 356, 976, 392 Calculator

Given Input numbers are 164, 356, 976, 392

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (164, 356, 976, 392) = 4.

Given numbers are 164, 356, 976, 392

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 356 are 2 x 2 x 89

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 164, 356, 976, 392 is 4.

Given numbers are 164, 356, 976, 392

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

Apply this formula for all numbers.

Step1:

LCM(164, 356) = 14596

GCD(164, 356) = ( 164 x 356 ) / 14596

= 164 / 356

= 164

Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

Step3:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4

So, Greatest Common Divisor of 164, 356, 976, 392 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 538, 662, 330
• GCD of 761, 970, 276, 340
• GCD of 135, 276, 165, 931
• GCD of 697, 143, 401, 274
• GCD of 421, 906, 129, 947

Given numbers are 164, 356, 976, 392
The greatest common divisor of numbers 164, 356, 976, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 356, 976, 392 is 4.

1. What is the GCD of 164, 356, 976, 392?

GCD of given numbers 164, 356, 976, 392 is 4

2. How to calculate the greatest common divisor of 164, 356, 976, 392?

We can find the highest common divisor of 164, 356, 976, 392 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, 356, 976, 392 i.e 4.

3. How can I use the GCD of 164, 356, 976, 392Calculator?

Out the numbers 164, 356, 976, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.