GCD of 724, 728, 975, 171 Calculator

Given Input numbers are 724, 728, 975, 171

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (724, 728, 975, 171) = 1.

Given numbers are 724, 728, 975, 171

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 724, 728, 975, 171

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

Apply this formula for all numbers.

Step1:

LCM(724, 728) = 131768

GCD(724, 728) = ( 724 x 728 ) / 131768

= 724 / 728

= 724

Step2:

LCM(4, 975) = 3900

GCD(4, 975) = ( 4 x 975 ) / 3900

= 4 / 975

= 4

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 724, 728, 975, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 108, 782, 606
• GCD of 520, 146, 788, 236
• GCD of 370, 472, 337, 627
• GCD of 449, 890, 524, 742
• GCD of 376, 603, 734, 922

Given numbers are 724, 728, 975, 171
The greatest common divisor of numbers 724, 728, 975, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 728, 975, 171 is 1.

1. What is the GCD of 724, 728, 975, 171?

GCD of given numbers 724, 728, 975, 171 is 1

2. How to calculate the greatest common divisor of 724, 728, 975, 171?

We can find the highest common divisor of 724, 728, 975, 171 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 724, 728, 975, 171 i.e 1.

3. How can I use the GCD of 724, 728, 975, 171Calculator?

Out the numbers 724, 728, 975, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.