GCD of 523, 959, 972, 853 Calculator

Given Input numbers are 523, 959, 972, 853

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

Divisors of 523 :

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

1, 523

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

GCD of numbers is the greatest common divisor

So, the GCD (523, 959, 972, 853) = 1.

Given numbers are 523, 959, 972, 853

The list of prime factors of all numbers are

Prime factors of 523 are 523

Prime factors of 959 are 7 x 137

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 853 are 853

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

Given numbers are 523, 959, 972, 853

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

Apply this formula for all numbers.

Step1:

LCM(523, 959) = 501557

GCD(523, 959) = ( 523 x 959 ) / 501557

= 523 / 959

= 523

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

= 1 / 853

= 1

So, Greatest Common Divisor of 523, 959, 972, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 685, 741, 444
• GCD of 400, 872, 268, 916
• GCD of 413, 924, 473, 413
• GCD of 480, 896, 617, 211
• GCD of 913, 758, 651, 540

Given numbers are 523, 959, 972, 853
The greatest common divisor of numbers 523, 959, 972, 853 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 959, 972, 853 is 1.

1. What is the GCD of 523, 959, 972, 853?

GCD of given numbers 523, 959, 972, 853 is 1

2. How to calculate the greatest common divisor of 523, 959, 972, 853?

We can find the highest common divisor of 523, 959, 972, 853 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 523, 959, 972, 853 i.e 1.

3. How can I use the GCD of 523, 959, 972, 853Calculator?

Out the numbers 523, 959, 972, 853 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.