GCD of 462, 428, 761, 738 Calculator

Given Input numbers are 462, 428, 761, 738

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (462, 428, 761, 738) = 1.

Given numbers are 462, 428, 761, 738

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 428 are 2 x 2 x 107

Prime factors of 761 are 761

Prime factors of 738 are 2 x 3 x 3 x 41

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

Given numbers are 462, 428, 761, 738

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

Apply this formula for all numbers.

Step1:

LCM(462, 428) = 98868

GCD(462, 428) = ( 462 x 428 ) / 98868

= 462 / 428

= 462

Step2:

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

= 2 / 761

= 2

Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

So, Greatest Common Divisor of 462, 428, 761, 738 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 500, 665, 580
• GCD of 460, 109, 173, 109
• GCD of 307, 511, 854, 204
• GCD of 368, 546, 344, 324
• GCD of 351, 697, 503, 423

Given numbers are 462, 428, 761, 738
The greatest common divisor of numbers 462, 428, 761, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 428, 761, 738 is 1.

1. What is the GCD of 462, 428, 761, 738?

GCD of given numbers 462, 428, 761, 738 is 1

2. How to calculate the greatest common divisor of 462, 428, 761, 738?

We can find the highest common divisor of 462, 428, 761, 738 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 462, 428, 761, 738 i.e 1.

3. How can I use the GCD of 462, 428, 761, 738Calculator?

Out the numbers 462, 428, 761, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.