GCD of 654, 729, 398, 505 Calculator

Given Input numbers are 654, 729, 398, 505

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

Divisors of 654 :

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (654, 729, 398, 505) = 1.

Given numbers are 654, 729, 398, 505

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 398 are 2 x 199

Prime factors of 505 are 5 x 101

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

Given numbers are 654, 729, 398, 505

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

Apply this formula for all numbers.

Step1:

LCM(654, 729) = 158922

GCD(654, 729) = ( 654 x 729 ) / 158922

= 654 / 729

= 654

Step2:

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

= 3 / 398

= 3

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 654, 729, 398, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 344, 680, 212
• GCD of 988, 415, 352, 303
• GCD of 248, 253, 435, 621
• GCD of 519, 755, 188, 737
• GCD of 152, 916, 349, 560

Given numbers are 654, 729, 398, 505
The greatest common divisor of numbers 654, 729, 398, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 729, 398, 505 is 1.

1. What is the GCD of 654, 729, 398, 505?

GCD of given numbers 654, 729, 398, 505 is 1

2. How to calculate the greatest common divisor of 654, 729, 398, 505?

We can find the highest common divisor of 654, 729, 398, 505 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 654, 729, 398, 505 i.e 1.

3. How can I use the GCD of 654, 729, 398, 505Calculator?

Out the numbers 654, 729, 398, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.