GCD of 524, 682, 214, 168 Calculator

Given Input numbers are 524, 682, 214, 168

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 682 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (524, 682, 214, 168) = 2.

Given numbers are 524, 682, 214, 168

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 682 are 2 x 11 x 31

Prime factors of 214 are 2 x 107

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 524, 682, 214, 168 is 2.

Given numbers are 524, 682, 214, 168

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

Apply this formula for all numbers.

Step1:

LCM(524, 682) = 178684

GCD(524, 682) = ( 524 x 682 ) / 178684

= 524 / 682

= 524

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

So, Greatest Common Divisor of 524, 682, 214, 168 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 158, 470, 129
• GCD of 921, 284, 290, 891
• GCD of 861, 852, 321, 380
• GCD of 142, 374, 892, 786
• GCD of 317, 580, 898, 782

Given numbers are 524, 682, 214, 168
The greatest common divisor of numbers 524, 682, 214, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 682, 214, 168 is 2.

1. What is the GCD of 524, 682, 214, 168?

GCD of given numbers 524, 682, 214, 168 is 2

2. How to calculate the greatest common divisor of 524, 682, 214, 168?

We can find the highest common divisor of 524, 682, 214, 168 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 524, 682, 214, 168 i.e 2.

3. How can I use the GCD of 524, 682, 214, 168Calculator?

Out the numbers 524, 682, 214, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.