GCD of 462, 686, 982, 380 Calculator

Given Input numbers are 462, 686, 982, 380

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 686 :

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

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

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 686, 982, 380) = 2.

Given numbers are 462, 686, 982, 380

The list of prime factors of all numbers are

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

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

Prime factors of 982 are 2 x 491

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

The highest common occurrence is 2¹

Therefore, GCD of 462, 686, 982, 380 is 2.

Given numbers are 462, 686, 982, 380

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

Apply this formula for all numbers.

Step1:

LCM(462, 686) = 22638

GCD(462, 686) = ( 462 x 686 ) / 22638

= 462 / 686

= 462

Step2:

LCM(14, 982) = 6874

GCD(14, 982) = ( 14 x 982 ) / 6874

= 14 / 982

= 14

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 462, 686, 982, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 979, 419, 415
• GCD of 863, 205, 141, 730
• GCD of 564, 305, 987, 923
• GCD of 941, 985, 168, 542
• GCD of 622, 348, 334, 973

Given numbers are 462, 686, 982, 380
The greatest common divisor of numbers 462, 686, 982, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 686, 982, 380 is 2.

1. What is the GCD of 462, 686, 982, 380?

GCD of given numbers 462, 686, 982, 380 is 2

2. How to calculate the greatest common divisor of 462, 686, 982, 380?

We can find the highest common divisor of 462, 686, 982, 380 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, 686, 982, 380 i.e 2.

3. How can I use the GCD of 462, 686, 982, 380Calculator?

Out the numbers 462, 686, 982, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.