GCD of 122, 446, 716, 364 Calculator

Given Input numbers are 122, 446, 716, 364

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (122, 446, 716, 364) = 2.

Given numbers are 122, 446, 716, 364

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 446 are 2 x 223

Prime factors of 716 are 2 x 2 x 179

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 122, 446, 716, 364 is 2.

Given numbers are 122, 446, 716, 364

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

Apply this formula for all numbers.

Step1:

LCM(122, 446) = 27206

GCD(122, 446) = ( 122 x 446 ) / 27206

= 122 / 446

= 122

Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 122, 446, 716, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 125, 304, 337
• GCD of 625, 600, 322, 780
• GCD of 646, 430, 791, 661
• GCD of 183, 302, 952, 581
• GCD of 800, 994, 731, 424

Given numbers are 122, 446, 716, 364
The greatest common divisor of numbers 122, 446, 716, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 446, 716, 364 is 2.

1. What is the GCD of 122, 446, 716, 364?

GCD of given numbers 122, 446, 716, 364 is 2

2. How to calculate the greatest common divisor of 122, 446, 716, 364?

We can find the highest common divisor of 122, 446, 716, 364 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 122, 446, 716, 364 i.e 2.

3. How can I use the GCD of 122, 446, 716, 364Calculator?

Out the numbers 122, 446, 716, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.