GCD of 522, 987, 765, 957 Calculator

Given Input numbers are 522, 987, 765, 957

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (522, 987, 765, 957) = 3.

Given numbers are 522, 987, 765, 957

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 987 are 3 x 7 x 47

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 957 are 3 x 11 x 29

The highest common occurrence is 3¹

Therefore, GCD of 522, 987, 765, 957 is 3.

Given numbers are 522, 987, 765, 957

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

Apply this formula for all numbers.

Step1:

LCM(522, 987) = 171738

GCD(522, 987) = ( 522 x 987 ) / 171738

= 522 / 987

= 522

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

Step3:

LCM(3, 957) = 957

GCD(3, 957) = ( 3 x 957 ) / 957

= 3 / 957

= 3

So, Greatest Common Divisor of 522, 987, 765, 957 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 668, 366, 341
• GCD of 872, 722, 148, 545
• GCD of 909, 886, 156, 855
• GCD of 602, 464, 655, 398
• GCD of 261, 135, 163, 882

Given numbers are 522, 987, 765, 957
The greatest common divisor of numbers 522, 987, 765, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 987, 765, 957 is 3.

1. What is the GCD of 522, 987, 765, 957?

GCD of given numbers 522, 987, 765, 957 is 3

2. How to calculate the greatest common divisor of 522, 987, 765, 957?

We can find the highest common divisor of 522, 987, 765, 957 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 522, 987, 765, 957 i.e 3.

3. How can I use the GCD of 522, 987, 765, 957Calculator?

Out the numbers 522, 987, 765, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.