GCD of 921, 945, 213, 728 Calculator

Given Input numbers are 921, 945, 213, 728

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 (921, 945, 213, 728) = 1.

Given numbers are 921, 945, 213, 728

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 213 are 3 x 71

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 921, 945, 213, 728

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

Apply this formula for all numbers.

Step1:

LCM(921, 945) = 290115

GCD(921, 945) = ( 921 x 945 ) / 290115

= 921 / 945

= 921

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

= 3 / 728

= 3

So, Greatest Common Divisor of 921, 945, 213, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 857, 541, 610, 292
• GCD of 164, 317, 424, 651
• GCD of 362, 682, 460, 545
• GCD of 945, 532, 342, 178
• GCD of 212, 835, 493, 231

Given numbers are 921, 945, 213, 728
The greatest common divisor of numbers 921, 945, 213, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 945, 213, 728 is 1.

1. What is the GCD of 921, 945, 213, 728?

GCD of given numbers 921, 945, 213, 728 is 1

2. How to calculate the greatest common divisor of 921, 945, 213, 728?

We can find the highest common divisor of 921, 945, 213, 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 921, 945, 213, 728 i.e 1.

3. How can I use the GCD of 921, 945, 213, 728Calculator?

Out the numbers 921, 945, 213, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.