GCD of 492, 840, 717, 355 Calculator

Given Input numbers are 492, 840, 717, 355

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (492, 840, 717, 355) = 1.

Given numbers are 492, 840, 717, 355

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 717 are 3 x 239

Prime factors of 355 are 5 x 71

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

Given numbers are 492, 840, 717, 355

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

Apply this formula for all numbers.

Step1:

LCM(492, 840) = 34440

GCD(492, 840) = ( 492 x 840 ) / 34440

= 492 / 840

= 492

Step2:

LCM(12, 717) = 2868

GCD(12, 717) = ( 12 x 717 ) / 2868

= 12 / 717

= 12

Step3:

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

= 3 / 355

= 3

So, Greatest Common Divisor of 492, 840, 717, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 852, 626, 425
• GCD of 718, 884, 571, 829
• GCD of 156, 733, 645, 271
• GCD of 431, 993, 464, 746
• GCD of 553, 526, 326, 601

Given numbers are 492, 840, 717, 355
The greatest common divisor of numbers 492, 840, 717, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 840, 717, 355 is 1.

1. What is the GCD of 492, 840, 717, 355?

GCD of given numbers 492, 840, 717, 355 is 1

2. How to calculate the greatest common divisor of 492, 840, 717, 355?

We can find the highest common divisor of 492, 840, 717, 355 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 492, 840, 717, 355 i.e 1.

3. How can I use the GCD of 492, 840, 717, 355Calculator?

Out the numbers 492, 840, 717, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.