GCD of 231, 728, 762, 478 Calculator

Given Input numbers are 231, 728, 762, 478

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

Divisors of 231 :

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

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

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (231, 728, 762, 478) = 1.

Given numbers are 231, 728, 762, 478

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

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

Prime factors of 762 are 2 x 3 x 127

Prime factors of 478 are 2 x 239

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

Given numbers are 231, 728, 762, 478

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

Apply this formula for all numbers.

Step1:

LCM(231, 728) = 24024

GCD(231, 728) = ( 231 x 728 ) / 24024

= 231 / 728

= 231

Step2:

LCM(7, 762) = 5334

GCD(7, 762) = ( 7 x 762 ) / 5334

= 7 / 762

= 7

Step3:

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

= 1 / 478

= 1

So, Greatest Common Divisor of 231, 728, 762, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 148, 735, 337
• GCD of 845, 698, 347, 290
• GCD of 701, 753, 302, 118
• GCD of 559, 417, 291, 518
• GCD of 728, 293, 216, 811

Given numbers are 231, 728, 762, 478
The greatest common divisor of numbers 231, 728, 762, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 728, 762, 478 is 1.

1. What is the GCD of 231, 728, 762, 478?

GCD of given numbers 231, 728, 762, 478 is 1

2. How to calculate the greatest common divisor of 231, 728, 762, 478?

We can find the highest common divisor of 231, 728, 762, 478 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 231, 728, 762, 478 i.e 1.

3. How can I use the GCD of 231, 728, 762, 478Calculator?

Out the numbers 231, 728, 762, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.