GCD of 838, 830, 420, 368 Calculator

Given Input numbers are 838, 830, 420, 368

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 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (838, 830, 420, 368) = 2.

Given numbers are 838, 830, 420, 368

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 830 are 2 x 5 x 83

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 838, 830, 420, 368 is 2.

Given numbers are 838, 830, 420, 368

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

Apply this formula for all numbers.

Step1:

LCM(838, 830) = 347770

GCD(838, 830) = ( 838 x 830 ) / 347770

= 838 / 830

= 838

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

= 2 / 368

= 2

So, Greatest Common Divisor of 838, 830, 420, 368 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 514, 600, 736
• GCD of 550, 256, 356, 515
• GCD of 883, 241, 621, 417
• GCD of 459, 662, 128, 242
• GCD of 193, 242, 491, 902

Given numbers are 838, 830, 420, 368
The greatest common divisor of numbers 838, 830, 420, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 830, 420, 368 is 2.

1. What is the GCD of 838, 830, 420, 368?

GCD of given numbers 838, 830, 420, 368 is 2

2. How to calculate the greatest common divisor of 838, 830, 420, 368?

We can find the highest common divisor of 838, 830, 420, 368 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, 830, 420, 368 i.e 2.

3. How can I use the GCD of 838, 830, 420, 368Calculator?

Out the numbers 838, 830, 420, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.