GCD of 634, 414, 468, 686 Calculator

Given Input numbers are 634, 414, 468, 686

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 (634, 414, 468, 686) = 2.

Given numbers are 634, 414, 468, 686

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 634, 414, 468, 686 is 2.

Given numbers are 634, 414, 468, 686

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

Apply this formula for all numbers.

Step1:

LCM(634, 414) = 131238

GCD(634, 414) = ( 634 x 414 ) / 131238

= 634 / 414

= 634

Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 634, 414, 468, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 385, 774, 600
• GCD of 755, 955, 357, 447
• GCD of 707, 206, 457, 418
• GCD of 725, 296, 769, 106
• GCD of 507, 247, 118, 312

Given numbers are 634, 414, 468, 686
The greatest common divisor of numbers 634, 414, 468, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 414, 468, 686 is 2.

1. What is the GCD of 634, 414, 468, 686?

GCD of given numbers 634, 414, 468, 686 is 2

2. How to calculate the greatest common divisor of 634, 414, 468, 686?

We can find the highest common divisor of 634, 414, 468, 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 634, 414, 468, 686 i.e 2.

3. How can I use the GCD of 634, 414, 468, 686Calculator?

Out the numbers 634, 414, 468, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.