GCD of 175, 728, 752, 231 Calculator

Given Input numbers are 175, 728, 752, 231

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (175, 728, 752, 231) = 1.

Given numbers are 175, 728, 752, 231

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 175, 728, 752, 231

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

Apply this formula for all numbers.

Step1:

LCM(175, 728) = 18200

GCD(175, 728) = ( 175 x 728 ) / 18200

= 175 / 728

= 175

Step2:

LCM(7, 752) = 5264

GCD(7, 752) = ( 7 x 752 ) / 5264

= 7 / 752

= 7

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 175, 728, 752, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 260, 264, 693
• GCD of 861, 472, 962, 189
• GCD of 760, 163, 892, 181
• GCD of 727, 827, 900, 561
• GCD of 141, 473, 263, 929

Given numbers are 175, 728, 752, 231
The greatest common divisor of numbers 175, 728, 752, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 728, 752, 231 is 1.

1. What is the GCD of 175, 728, 752, 231?

GCD of given numbers 175, 728, 752, 231 is 1

2. How to calculate the greatest common divisor of 175, 728, 752, 231?

We can find the highest common divisor of 175, 728, 752, 231 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 175, 728, 752, 231 i.e 1.

3. How can I use the GCD of 175, 728, 752, 231Calculator?

Out the numbers 175, 728, 752, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.