GCD of 531, 756, 35, 172 Calculator

Given Input numbers are 531, 756, 35, 172

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

Divisors of 531 :

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

1, 3, 9, 59, 177, 531

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 35 :

The positive integer divisors of 35 that completely divides 35 are.

1, 5, 7, 35

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (531, 756, 35, 172) = 1.

Given numbers are 531, 756, 35, 172

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 35 are 5 x 7

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 531, 756, 35, 172

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

Apply this formula for all numbers.

Step1:

LCM(531, 756) = 44604

GCD(531, 756) = ( 531 x 756 ) / 44604

= 531 / 756

= 531

Step2:

LCM(9, 35) = 315

GCD(9, 35) = ( 9 x 35 ) / 315

= 9 / 35

= 9

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 531, 756, 35, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 920, 32, 305
• GCD of 173, 767, 71, 276
• GCD of 224, 770, 53, 152
• GCD of 513, 715, 43, 539
• GCD of 649, 159, 31, 447

Given numbers are 531, 756, 35, 172
The greatest common divisor of numbers 531, 756, 35, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 756, 35, 172 is 1.

1. What is the GCD of 531, 756, 35, 172?

GCD of given numbers 531, 756, 35, 172 is 1

2. How to calculate the greatest common divisor of 531, 756, 35, 172?

We can find the highest common divisor of 531, 756, 35, 172 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 531, 756, 35, 172 i.e 1.

3. How can I use the GCD of 531, 756, 35, 172Calculator?

Out the numbers 531, 756, 35, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.