GCD of 462, 654, 709, 741 Calculator

Given Input numbers are 462, 654, 709, 741

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (462, 654, 709, 741) = 1.

Given numbers are 462, 654, 709, 741

The list of prime factors of all numbers are

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

Prime factors of 654 are 2 x 3 x 109

Prime factors of 709 are 709

Prime factors of 741 are 3 x 13 x 19

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

Given numbers are 462, 654, 709, 741

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

Apply this formula for all numbers.

Step1:

LCM(462, 654) = 50358

GCD(462, 654) = ( 462 x 654 ) / 50358

= 462 / 654

= 462

Step2:

LCM(6, 709) = 4254

GCD(6, 709) = ( 6 x 709 ) / 4254

= 6 / 709

= 6

Step3:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

So, Greatest Common Divisor of 462, 654, 709, 741 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 134, 447, 332
• GCD of 333, 863, 912, 472
• GCD of 701, 197, 807, 294
• GCD of 413, 483, 685, 664
• GCD of 589, 916, 735, 365

Given numbers are 462, 654, 709, 741
The greatest common divisor of numbers 462, 654, 709, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 654, 709, 741 is 1.

1. What is the GCD of 462, 654, 709, 741?

GCD of given numbers 462, 654, 709, 741 is 1

2. How to calculate the greatest common divisor of 462, 654, 709, 741?

We can find the highest common divisor of 462, 654, 709, 741 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, 654, 709, 741 i.e 1.

3. How can I use the GCD of 462, 654, 709, 741Calculator?

Out the numbers 462, 654, 709, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.