GCD of 122, 274, 369, 728 Calculator

Given Input numbers are 122, 274, 369, 728

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 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (122, 274, 369, 728) = 1.

Given numbers are 122, 274, 369, 728

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 274 are 2 x 137

Prime factors of 369 are 3 x 3 x 41

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Given numbers are 122, 274, 369, 728

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

Apply this formula for all numbers.

Step1:

LCM(122, 274) = 16714

GCD(122, 274) = ( 122 x 274 ) / 16714

= 122 / 274

= 122

Step2:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 122, 274, 369, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 700, 267, 501
• GCD of 973, 736, 243, 880
• GCD of 943, 818, 836, 118
• GCD of 217, 190, 873, 587
• GCD of 346, 572, 359, 798

Given numbers are 122, 274, 369, 728
The greatest common divisor of numbers 122, 274, 369, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 274, 369, 728 is 1.

1. What is the GCD of 122, 274, 369, 728?

GCD of given numbers 122, 274, 369, 728 is 1

2. How to calculate the greatest common divisor of 122, 274, 369, 728?

We can find the highest common divisor of 122, 274, 369, 728 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, 274, 369, 728 i.e 1.

3. How can I use the GCD of 122, 274, 369, 728Calculator?

Out the numbers 122, 274, 369, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.