GCD of 122, 994, 221, 109 Calculator

Given Input numbers are 122, 994, 221, 109

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 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (122, 994, 221, 109) = 1.

Given numbers are 122, 994, 221, 109

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 994 are 2 x 7 x 71

Prime factors of 221 are 13 x 17

Prime factors of 109 are 109

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

Given numbers are 122, 994, 221, 109

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

Apply this formula for all numbers.

Step1:

LCM(122, 994) = 60634

GCD(122, 994) = ( 122 x 994 ) / 60634

= 122 / 994

= 122

Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 122, 994, 221, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 104, 828, 548, 466
• GCD of 150, 277, 787, 513
• GCD of 262, 902, 451, 335
• GCD of 266, 169, 370, 285
• GCD of 399, 886, 715, 409

Given numbers are 122, 994, 221, 109
The greatest common divisor of numbers 122, 994, 221, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 994, 221, 109 is 1.

1. What is the GCD of 122, 994, 221, 109?

GCD of given numbers 122, 994, 221, 109 is 1

2. How to calculate the greatest common divisor of 122, 994, 221, 109?

We can find the highest common divisor of 122, 994, 221, 109 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, 994, 221, 109 i.e 1.

3. How can I use the GCD of 122, 994, 221, 109Calculator?

Out the numbers 122, 994, 221, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.