GCD of 705, 981, 15, 531 Calculator

Given Input numbers are 705, 981, 15, 531

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

GCD of numbers is the greatest common divisor

So, the GCD (705, 981, 15, 531) = 3.

Given numbers are 705, 981, 15, 531

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 981 are 3 x 3 x 109

Prime factors of 15 are 3 x 5

Prime factors of 531 are 3 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 705, 981, 15, 531 is 3.

Given numbers are 705, 981, 15, 531

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

Apply this formula for all numbers.

Step1:

LCM(705, 981) = 230535

GCD(705, 981) = ( 705 x 981 ) / 230535

= 705 / 981

= 705

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

Step3:

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

= 3 / 531

= 3

So, Greatest Common Divisor of 705, 981, 15, 531 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 503, 90, 785
• GCD of 330, 581, 39, 347
• GCD of 640, 995, 71, 662
• GCD of 629, 151, 67, 924
• GCD of 556, 112, 25, 916

Given numbers are 705, 981, 15, 531
The greatest common divisor of numbers 705, 981, 15, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 981, 15, 531 is 3.

1. What is the GCD of 705, 981, 15, 531?

GCD of given numbers 705, 981, 15, 531 is 3

2. How to calculate the greatest common divisor of 705, 981, 15, 531?

We can find the highest common divisor of 705, 981, 15, 531 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 705, 981, 15, 531 i.e 3.

3. How can I use the GCD of 705, 981, 15, 531Calculator?

Out the numbers 705, 981, 15, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.