GCD of 802, 128, 646, 972 Calculator

Given Input numbers are 802, 128, 646, 972

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (802, 128, 646, 972) = 2.

Given numbers are 802, 128, 646, 972

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 646 are 2 x 17 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 802, 128, 646, 972 is 2.

Given numbers are 802, 128, 646, 972

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

Apply this formula for all numbers.

Step1:

LCM(802, 128) = 51328

GCD(802, 128) = ( 802 x 128 ) / 51328

= 802 / 128

= 802

Step2:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 802, 128, 646, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 411, 355, 458
• GCD of 986, 964, 265, 801
• GCD of 762, 274, 769, 845
• GCD of 609, 670, 615, 881
• GCD of 315, 715, 850, 926

Given numbers are 802, 128, 646, 972
The greatest common divisor of numbers 802, 128, 646, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 128, 646, 972 is 2.

1. What is the GCD of 802, 128, 646, 972?

GCD of given numbers 802, 128, 646, 972 is 2

2. How to calculate the greatest common divisor of 802, 128, 646, 972?

We can find the highest common divisor of 802, 128, 646, 972 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 802, 128, 646, 972 i.e 2.

3. How can I use the GCD of 802, 128, 646, 972Calculator?

Out the numbers 802, 128, 646, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.