GCD of 401, 242, 764, 728 Calculator

Given Input numbers are 401, 242, 764, 728

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

Divisors of 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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 (401, 242, 764, 728) = 1.

Given numbers are 401, 242, 764, 728

The list of prime factors of all numbers are

Prime factors of 401 are 401

Prime factors of 242 are 2 x 11 x 11

Prime factors of 764 are 2 x 2 x 191

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 401, 242, 764, 728

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

Apply this formula for all numbers.

Step1:

LCM(401, 242) = 97042

GCD(401, 242) = ( 401 x 242 ) / 97042

= 401 / 242

= 401

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 728) = 728

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

= 1 / 728

= 1

So, Greatest Common Divisor of 401, 242, 764, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 318, 554, 805
• GCD of 517, 866, 562, 148
• GCD of 627, 539, 807, 287
• GCD of 117, 396, 442, 471
• GCD of 198, 516, 134, 309

Given numbers are 401, 242, 764, 728
The greatest common divisor of numbers 401, 242, 764, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 401, 242, 764, 728 is 1.

1. What is the GCD of 401, 242, 764, 728?

GCD of given numbers 401, 242, 764, 728 is 1

2. How to calculate the greatest common divisor of 401, 242, 764, 728?

We can find the highest common divisor of 401, 242, 764, 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 401, 242, 764, 728 i.e 1.

3. How can I use the GCD of 401, 242, 764, 728Calculator?

Out the numbers 401, 242, 764, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.