GCD of 838, 844, 652, 100 Calculator

Given Input numbers are 838, 844, 652, 100

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (838, 844, 652, 100) = 2.

Given numbers are 838, 844, 652, 100

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 844 are 2 x 2 x 211

Prime factors of 652 are 2 x 2 x 163

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 838, 844, 652, 100 is 2.

Given numbers are 838, 844, 652, 100

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

Apply this formula for all numbers.

Step1:

LCM(838, 844) = 353636

GCD(838, 844) = ( 838 x 844 ) / 353636

= 838 / 844

= 838

Step2:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 838, 844, 652, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 686, 914, 802
• GCD of 275, 152, 794, 834
• GCD of 372, 662, 595, 622
• GCD of 166, 256, 514, 418
• GCD of 777, 709, 595, 841

Given numbers are 838, 844, 652, 100
The greatest common divisor of numbers 838, 844, 652, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 844, 652, 100 is 2.

1. What is the GCD of 838, 844, 652, 100?

GCD of given numbers 838, 844, 652, 100 is 2

2. How to calculate the greatest common divisor of 838, 844, 652, 100?

We can find the highest common divisor of 838, 844, 652, 100 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 838, 844, 652, 100 i.e 2.

3. How can I use the GCD of 838, 844, 652, 100Calculator?

Out the numbers 838, 844, 652, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.