GCD of 706, 360, 794, 969 Calculator

Given Input numbers are 706, 360, 794, 969

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

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 969 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (706, 360, 794, 969) = 1.

Given numbers are 706, 360, 794, 969

The list of prime factors of all numbers are

Prime factors of 706 are 2 x 353

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 794 are 2 x 397

Prime factors of 969 are 3 x 17 x 19

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

Given numbers are 706, 360, 794, 969

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

Apply this formula for all numbers.

Step1:

LCM(706, 360) = 127080

GCD(706, 360) = ( 706 x 360 ) / 127080

= 706 / 360

= 706

Step2:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

Step3:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

So, Greatest Common Divisor of 706, 360, 794, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 589, 327, 991, 411
• GCD of 670, 709, 501, 185
• GCD of 116, 985, 922, 724
• GCD of 644, 578, 561, 246
• GCD of 735, 230, 999, 318

Given numbers are 706, 360, 794, 969
The greatest common divisor of numbers 706, 360, 794, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 360, 794, 969 is 1.

1. What is the GCD of 706, 360, 794, 969?

GCD of given numbers 706, 360, 794, 969 is 1

2. How to calculate the greatest common divisor of 706, 360, 794, 969?

We can find the highest common divisor of 706, 360, 794, 969 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 706, 360, 794, 969 i.e 1.

3. How can I use the GCD of 706, 360, 794, 969Calculator?

Out the numbers 706, 360, 794, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.