GCD of 682, 456, 708, 854 Calculator

Given Input numbers are 682, 456, 708, 854

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (682, 456, 708, 854) = 2.

Given numbers are 682, 456, 708, 854

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 682, 456, 708, 854 is 2.

Given numbers are 682, 456, 708, 854

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

Apply this formula for all numbers.

Step1:

LCM(682, 456) = 155496

GCD(682, 456) = ( 682 x 456 ) / 155496

= 682 / 456

= 682

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 682, 456, 708, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 633, 858, 165
• GCD of 877, 404, 516, 291
• GCD of 322, 602, 937, 147
• GCD of 401, 773, 173, 388
• GCD of 690, 998, 210, 496

Given numbers are 682, 456, 708, 854
The greatest common divisor of numbers 682, 456, 708, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 456, 708, 854 is 2.

1. What is the GCD of 682, 456, 708, 854?

GCD of given numbers 682, 456, 708, 854 is 2

2. How to calculate the greatest common divisor of 682, 456, 708, 854?

We can find the highest common divisor of 682, 456, 708, 854 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 682, 456, 708, 854 i.e 2.

3. How can I use the GCD of 682, 456, 708, 854Calculator?

Out the numbers 682, 456, 708, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.