GCD of 108, 938, 409, 874 Calculator

Given Input numbers are 108, 938, 409, 874

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (108, 938, 409, 874) = 1.

Given numbers are 108, 938, 409, 874

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 938 are 2 x 7 x 67

Prime factors of 409 are 409

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 108, 938, 409, 874

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

Apply this formula for all numbers.

Step1:

LCM(108, 938) = 50652

GCD(108, 938) = ( 108 x 938 ) / 50652

= 108 / 938

= 108

Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 108, 938, 409, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 432, 384, 200
• GCD of 877, 618, 236, 287
• GCD of 204, 324, 117, 997
• GCD of 136, 903, 349, 389
• GCD of 632, 367, 603, 677

Given numbers are 108, 938, 409, 874
The greatest common divisor of numbers 108, 938, 409, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 938, 409, 874 is 1.

1. What is the GCD of 108, 938, 409, 874?

GCD of given numbers 108, 938, 409, 874 is 1

2. How to calculate the greatest common divisor of 108, 938, 409, 874?

We can find the highest common divisor of 108, 938, 409, 874 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 108, 938, 409, 874 i.e 1.

3. How can I use the GCD of 108, 938, 409, 874Calculator?

Out the numbers 108, 938, 409, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.