GCD of 712, 689, 764, 914 Calculator

Given Input numbers are 712, 689, 764, 914

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 689 :

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

1, 13, 53, 689

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (712, 689, 764, 914) = 1.

Given numbers are 712, 689, 764, 914

The list of prime factors of all numbers are

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

Prime factors of 689 are 13 x 53

Prime factors of 764 are 2 x 2 x 191

Prime factors of 914 are 2 x 457

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

Given numbers are 712, 689, 764, 914

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

Apply this formula for all numbers.

Step1:

LCM(712, 689) = 490568

GCD(712, 689) = ( 712 x 689 ) / 490568

= 712 / 689

= 712

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 712, 689, 764, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 488, 124, 190
• GCD of 475, 980, 957, 978
• GCD of 261, 445, 880, 972
• GCD of 735, 883, 339, 793
• GCD of 668, 668, 374, 851

Given numbers are 712, 689, 764, 914
The greatest common divisor of numbers 712, 689, 764, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 689, 764, 914 is 1.

1. What is the GCD of 712, 689, 764, 914?

GCD of given numbers 712, 689, 764, 914 is 1

2. How to calculate the greatest common divisor of 712, 689, 764, 914?

We can find the highest common divisor of 712, 689, 764, 914 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, 689, 764, 914 i.e 1.

3. How can I use the GCD of 712, 689, 764, 914Calculator?

Out the numbers 712, 689, 764, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.