GCD of 969, 807, 728 Calculator

Given Input numbers are 969, 807, 728

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

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 (969, 807, 728) = 1.

Given numbers are 969, 807, 728

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 807 are 3 x 269

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 969, 807, 728

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

Apply this formula for all numbers.

Step1:

LCM(969, 807) = 260661

GCD(969, 807) = ( 969 x 807 ) / 260661

= 969 / 807

= 969

Step2:

LCM(3, 728) = 2184

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

= 3 / 728

= 3

So, Greatest Common Divisor of 969, 807, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 591, 127
• GCD of 137, 586, 184
• GCD of 362, 404, 293
• GCD of 978, 823, 740
• GCD of 723, 244, 698

Given numbers are 969, 807, 728
The greatest common divisor of numbers 969, 807, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 807, 728 is 1.

1. What is the GCD of 969, 807, 728?

GCD of given numbers 969, 807, 728 is 1

2. How to calculate the greatest common divisor of 969, 807, 728?

We can find the highest common divisor of 969, 807, 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 969, 807, 728 i.e 1.

3. How can I use the GCD of 969, 807, 728Calculator?

Out the numbers 969, 807, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.