GCD of 322, 972, 914, 682 Calculator

Given Input numbers are 322, 972, 914, 682

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (322, 972, 914, 682) = 2.

Given numbers are 322, 972, 914, 682

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

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

Prime factors of 914 are 2 x 457

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 322, 972, 914, 682 is 2.

Given numbers are 322, 972, 914, 682

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

Apply this formula for all numbers.

Step1:

LCM(322, 972) = 156492

GCD(322, 972) = ( 322 x 972 ) / 156492

= 322 / 972

= 322

Step2:

LCM(2, 914) = 914

GCD(2, 914) = ( 2 x 914 ) / 914

= 2 / 914

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 322, 972, 914, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 547, 692, 955
• GCD of 817, 784, 593, 746
• GCD of 132, 900, 502, 408
• GCD of 786, 624, 245, 742
• GCD of 995, 602, 109, 808

Given numbers are 322, 972, 914, 682
The greatest common divisor of numbers 322, 972, 914, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 972, 914, 682 is 2.

1. What is the GCD of 322, 972, 914, 682?

GCD of given numbers 322, 972, 914, 682 is 2

2. How to calculate the greatest common divisor of 322, 972, 914, 682?

We can find the highest common divisor of 322, 972, 914, 682 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 322, 972, 914, 682 i.e 2.

3. How can I use the GCD of 322, 972, 914, 682Calculator?

Out the numbers 322, 972, 914, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.