GCD of 492, 380, 824, 686 Calculator

Given Input numbers are 492, 380, 824, 686

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (492, 380, 824, 686) = 2.

Given numbers are 492, 380, 824, 686

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 492, 380, 824, 686 is 2.

Given numbers are 492, 380, 824, 686

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

Apply this formula for all numbers.

Step1:

LCM(492, 380) = 46740

GCD(492, 380) = ( 492 x 380 ) / 46740

= 492 / 380

= 492

Step2:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

Step3:

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

= 4 / 686

= 4

So, Greatest Common Divisor of 492, 380, 824, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 643, 748, 534
• GCD of 241, 441, 962, 806
• GCD of 532, 973, 680, 393
• GCD of 283, 653, 288, 996
• GCD of 341, 433, 503, 493

Given numbers are 492, 380, 824, 686
The greatest common divisor of numbers 492, 380, 824, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 380, 824, 686 is 2.

1. What is the GCD of 492, 380, 824, 686?

GCD of given numbers 492, 380, 824, 686 is 2

2. How to calculate the greatest common divisor of 492, 380, 824, 686?

We can find the highest common divisor of 492, 380, 824, 686 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, 380, 824, 686 i.e 2.

3. How can I use the GCD of 492, 380, 824, 686Calculator?

Out the numbers 492, 380, 824, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.