GCD of 634, 496, 678, 714 Calculator

Given Input numbers are 634, 496, 678, 714

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (634, 496, 678, 714) = 2.

Given numbers are 634, 496, 678, 714

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 678 are 2 x 3 x 113

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 634, 496, 678, 714 is 2.

Given numbers are 634, 496, 678, 714

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

Apply this formula for all numbers.

Step1:

LCM(634, 496) = 157232

GCD(634, 496) = ( 634 x 496 ) / 157232

= 634 / 496

= 634

Step2:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 634, 496, 678, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 335, 629, 911
• GCD of 110, 283, 875, 777
• GCD of 497, 404, 773, 448
• GCD of 529, 772, 477, 885
• GCD of 492, 651, 943, 412

Given numbers are 634, 496, 678, 714
The greatest common divisor of numbers 634, 496, 678, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 496, 678, 714 is 2.

1. What is the GCD of 634, 496, 678, 714?

GCD of given numbers 634, 496, 678, 714 is 2

2. How to calculate the greatest common divisor of 634, 496, 678, 714?

We can find the highest common divisor of 634, 496, 678, 714 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, 496, 678, 714 i.e 2.

3. How can I use the GCD of 634, 496, 678, 714Calculator?

Out the numbers 634, 496, 678, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.