GCD of 687, 738, 901, 523 Calculator

Given Input numbers are 687, 738, 901, 523

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (687, 738, 901, 523) = 1.

Given numbers are 687, 738, 901, 523

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 901 are 17 x 53

Prime factors of 523 are 523

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

Given numbers are 687, 738, 901, 523

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

Apply this formula for all numbers.

Step1:

LCM(687, 738) = 169002

GCD(687, 738) = ( 687 x 738 ) / 169002

= 687 / 738

= 687

Step2:

LCM(3, 901) = 2703

GCD(3, 901) = ( 3 x 901 ) / 2703

= 3 / 901

= 3

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 687, 738, 901, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 862, 102, 404
• GCD of 259, 308, 783, 758
• GCD of 933, 106, 423, 187
• GCD of 836, 568, 449, 340
• GCD of 868, 822, 506, 257

Given numbers are 687, 738, 901, 523
The greatest common divisor of numbers 687, 738, 901, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 738, 901, 523 is 1.

1. What is the GCD of 687, 738, 901, 523?

GCD of given numbers 687, 738, 901, 523 is 1

2. How to calculate the greatest common divisor of 687, 738, 901, 523?

We can find the highest common divisor of 687, 738, 901, 523 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 687, 738, 901, 523 i.e 1.

3. How can I use the GCD of 687, 738, 901, 523Calculator?

Out the numbers 687, 738, 901, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.