GCD of 729, 658, 784, 240 Calculator

Given Input numbers are 729, 658, 784, 240

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

Divisors of 729 :

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

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (729, 658, 784, 240) = 1.

Given numbers are 729, 658, 784, 240

The list of prime factors of all numbers are

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 729, 658, 784, 240

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

Apply this formula for all numbers.

Step1:

LCM(729, 658) = 479682

GCD(729, 658) = ( 729 x 658 ) / 479682

= 729 / 658

= 729

Step2:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

Step3:

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

= 1 / 240

= 1

So, Greatest Common Divisor of 729, 658, 784, 240 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 470, 899, 163
• GCD of 296, 110, 647, 138
• GCD of 639, 703, 605, 497
• GCD of 290, 860, 704, 442
• GCD of 577, 368, 177, 601

Given numbers are 729, 658, 784, 240
The greatest common divisor of numbers 729, 658, 784, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 658, 784, 240 is 1.

1. What is the GCD of 729, 658, 784, 240?

GCD of given numbers 729, 658, 784, 240 is 1

2. How to calculate the greatest common divisor of 729, 658, 784, 240?

We can find the highest common divisor of 729, 658, 784, 240 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 729, 658, 784, 240 i.e 1.

3. How can I use the GCD of 729, 658, 784, 240Calculator?

Out the numbers 729, 658, 784, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.