GCD of 378, 199, 338, 508 Calculator

Given Input numbers are 378, 199, 338, 508

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (378, 199, 338, 508) = 1.

Given numbers are 378, 199, 338, 508

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 199 are 199

Prime factors of 338 are 2 x 13 x 13

Prime factors of 508 are 2 x 2 x 127

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 378, 199, 338, 508

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

Apply this formula for all numbers.

Step1:

LCM(378, 199) = 75222

GCD(378, 199) = ( 378 x 199 ) / 75222

= 378 / 199

= 378

Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 378, 199, 338, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 181, 160, 661
• GCD of 797, 882, 416, 666
• GCD of 897, 963, 459, 859
• GCD of 411, 839, 610, 607
• GCD of 796, 187, 858, 403

Given numbers are 378, 199, 338, 508
The greatest common divisor of numbers 378, 199, 338, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 199, 338, 508 is 1.

1. What is the GCD of 378, 199, 338, 508?

GCD of given numbers 378, 199, 338, 508 is 1

2. How to calculate the greatest common divisor of 378, 199, 338, 508?

We can find the highest common divisor of 378, 199, 338, 508 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 378, 199, 338, 508 i.e 1.

3. How can I use the GCD of 378, 199, 338, 508Calculator?

Out the numbers 378, 199, 338, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.