GCD of 638, 676, 502, 412 Calculator

Given Input numbers are 638, 676, 502, 412

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (638, 676, 502, 412) = 2.

Given numbers are 638, 676, 502, 412

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 502 are 2 x 251

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 638, 676, 502, 412 is 2.

Given numbers are 638, 676, 502, 412

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

Apply this formula for all numbers.

Step1:

LCM(638, 676) = 215644

GCD(638, 676) = ( 638 x 676 ) / 215644

= 638 / 676

= 638

Step2:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 638, 676, 502, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 122, 698, 430
• GCD of 986, 388, 199, 142
• GCD of 228, 904, 203, 622
• GCD of 891, 650, 109, 130
• GCD of 983, 641, 810, 774

Given numbers are 638, 676, 502, 412
The greatest common divisor of numbers 638, 676, 502, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 676, 502, 412 is 2.

1. What is the GCD of 638, 676, 502, 412?

GCD of given numbers 638, 676, 502, 412 is 2

2. How to calculate the greatest common divisor of 638, 676, 502, 412?

We can find the highest common divisor of 638, 676, 502, 412 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 638, 676, 502, 412 i.e 2.

3. How can I use the GCD of 638, 676, 502, 412Calculator?

Out the numbers 638, 676, 502, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.