GCD of 328, 496, 612, 971 Calculator

Given Input numbers are 328, 496, 612, 971

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (328, 496, 612, 971) = 1.

Given numbers are 328, 496, 612, 971

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 971 are 971

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 328, 496, 612, 971

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

Apply this formula for all numbers.

Step1:

LCM(328, 496) = 20336

GCD(328, 496) = ( 328 x 496 ) / 20336

= 328 / 496

= 328

Step2:

LCM(8, 612) = 1224

GCD(8, 612) = ( 8 x 612 ) / 1224

= 8 / 612

= 8

Step3:

LCM(4, 971) = 3884

GCD(4, 971) = ( 4 x 971 ) / 3884

= 4 / 971

= 4

So, Greatest Common Divisor of 328, 496, 612, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 823, 577, 253
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• GCD of 895, 616, 733, 225
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• GCD of 738, 305, 479, 491

Given numbers are 328, 496, 612, 971
The greatest common divisor of numbers 328, 496, 612, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 496, 612, 971 is 1.

1. What is the GCD of 328, 496, 612, 971?

GCD of given numbers 328, 496, 612, 971 is 1

2. How to calculate the greatest common divisor of 328, 496, 612, 971?

We can find the highest common divisor of 328, 496, 612, 971 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 328, 496, 612, 971 i.e 1.

3. How can I use the GCD of 328, 496, 612, 971Calculator?

Out the numbers 328, 496, 612, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.