GCD of 634, 724, 50, 780 Calculator

Given Input numbers are 634, 724, 50, 780

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (634, 724, 50, 780) = 2.

Given numbers are 634, 724, 50, 780

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 724 are 2 x 2 x 181

Prime factors of 50 are 2 x 5 x 5

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 634, 724, 50, 780 is 2.

Given numbers are 634, 724, 50, 780

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

Apply this formula for all numbers.

Step1:

LCM(634, 724) = 229508

GCD(634, 724) = ( 634 x 724 ) / 229508

= 634 / 724

= 634

Step2:

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

= 2 / 50

= 2

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 634, 724, 50, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 992, 91, 979
• GCD of 523, 279, 66, 282
• GCD of 839, 641, 66, 379
• GCD of 515, 794, 32, 659
• GCD of 658, 194, 47, 342

Given numbers are 634, 724, 50, 780
The greatest common divisor of numbers 634, 724, 50, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 724, 50, 780 is 2.

1. What is the GCD of 634, 724, 50, 780?

GCD of given numbers 634, 724, 50, 780 is 2

2. How to calculate the greatest common divisor of 634, 724, 50, 780?

We can find the highest common divisor of 634, 724, 50, 780 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, 724, 50, 780 i.e 2.

3. How can I use the GCD of 634, 724, 50, 780Calculator?

Out the numbers 634, 724, 50, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.