GCD of 712, 104, 295, 689 Calculator

Given Input numbers are 712, 104, 295, 689

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (712, 104, 295, 689) = 1.

Given numbers are 712, 104, 295, 689

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 295 are 5 x 59

Prime factors of 689 are 13 x 53

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

Given numbers are 712, 104, 295, 689

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

Apply this formula for all numbers.

Step1:

LCM(712, 104) = 9256

GCD(712, 104) = ( 712 x 104 ) / 9256

= 712 / 104

= 712

Step2:

LCM(8, 295) = 2360

GCD(8, 295) = ( 8 x 295 ) / 2360

= 8 / 295

= 8

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 712, 104, 295, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 221, 127, 706
• GCD of 657, 650, 927, 661
• GCD of 972, 197, 347, 973
• GCD of 141, 709, 108, 870
• GCD of 308, 748, 381, 501

Given numbers are 712, 104, 295, 689
The greatest common divisor of numbers 712, 104, 295, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 104, 295, 689 is 1.

1. What is the GCD of 712, 104, 295, 689?

GCD of given numbers 712, 104, 295, 689 is 1

2. How to calculate the greatest common divisor of 712, 104, 295, 689?

We can find the highest common divisor of 712, 104, 295, 689 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 712, 104, 295, 689 i.e 1.

3. How can I use the GCD of 712, 104, 295, 689Calculator?

Out the numbers 712, 104, 295, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.