GCD of 106, 694, 72, 711 Calculator

Given Input numbers are 106, 694, 72, 711

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

GCD of numbers is the greatest common divisor

So, the GCD (106, 694, 72, 711) = 1.

Given numbers are 106, 694, 72, 711

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 694 are 2 x 347

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 711 are 3 x 3 x 79

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

Given numbers are 106, 694, 72, 711

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

Apply this formula for all numbers.

Step1:

LCM(106, 694) = 36782

GCD(106, 694) = ( 106 x 694 ) / 36782

= 106 / 694

= 106

Step2:

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

= 2 / 72

= 2

Step3:

LCM(2, 711) = 1422

GCD(2, 711) = ( 2 x 711 ) / 1422

= 2 / 711

= 2

So, Greatest Common Divisor of 106, 694, 72, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 222, 53, 593
• GCD of 572, 975, 25, 170
• GCD of 640, 699, 61, 747
• GCD of 243, 887, 56, 850
• GCD of 697, 532, 99, 904

Given numbers are 106, 694, 72, 711
The greatest common divisor of numbers 106, 694, 72, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 694, 72, 711 is 1.

1. What is the GCD of 106, 694, 72, 711?

GCD of given numbers 106, 694, 72, 711 is 1

2. How to calculate the greatest common divisor of 106, 694, 72, 711?

We can find the highest common divisor of 106, 694, 72, 711 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 106, 694, 72, 711 i.e 1.

3. How can I use the GCD of 106, 694, 72, 711Calculator?

Out the numbers 106, 694, 72, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.