GCD of 975, 897, 728, 247 Calculator

Given Input numbers are 975, 897, 728, 247

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

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 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

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 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247

GCD of numbers is the greatest common divisor

So, the GCD (975, 897, 728, 247) = 13.

Given numbers are 975, 897, 728, 247

The list of prime factors of all numbers are

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

Prime factors of 897 are 3 x 13 x 23

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

Prime factors of 247 are 13 x 19

The highest common occurrence is 13¹

Therefore, GCD of 975, 897, 728, 247 is 13.

Given numbers are 975, 897, 728, 247

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

Apply this formula for all numbers.

Step1:

LCM(975, 897) = 22425

GCD(975, 897) = ( 975 x 897 ) / 22425

= 975 / 897

= 975

Step2:

LCM(39, 728) = 2184

GCD(39, 728) = ( 39 x 728 ) / 2184

= 39 / 728

= 39

Step3:

LCM(13, 247) = 247

GCD(13, 247) = ( 13 x 247 ) / 247

= 13 / 247

= 13

So, Greatest Common Divisor of 975, 897, 728, 247 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 571, 321, 759
• GCD of 669, 407, 277, 943
• GCD of 885, 335, 341, 724
• GCD of 599, 975, 415, 303
• GCD of 632, 116, 449, 890

Given numbers are 975, 897, 728, 247
The greatest common divisor of numbers 975, 897, 728, 247 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 897, 728, 247 is 13.

1. What is the GCD of 975, 897, 728, 247?

GCD of given numbers 975, 897, 728, 247 is 13

2. How to calculate the greatest common divisor of 975, 897, 728, 247?

We can find the highest common divisor of 975, 897, 728, 247 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 975, 897, 728, 247 i.e 13.

3. How can I use the GCD of 975, 897, 728, 247Calculator?

Out the numbers 975, 897, 728, 247 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.