GCD of 642, 108, 141, 338 Calculator

Given Input numbers are 642, 108, 141, 338

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (642, 108, 141, 338) = 1.

Given numbers are 642, 108, 141, 338

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

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

Prime factors of 141 are 3 x 47

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 642, 108, 141, 338

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

Apply this formula for all numbers.

Step1:

LCM(642, 108) = 11556

GCD(642, 108) = ( 642 x 108 ) / 11556

= 642 / 108

= 642

Step2:

LCM(6, 141) = 282

GCD(6, 141) = ( 6 x 141 ) / 282

= 6 / 141

= 6

Step3:

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

= 3 / 338

= 3

So, Greatest Common Divisor of 642, 108, 141, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 733, 958, 957
• GCD of 771, 452, 815, 294
• GCD of 563, 144, 764, 951
• GCD of 116, 291, 182, 797
• GCD of 256, 404, 689, 241

Given numbers are 642, 108, 141, 338
The greatest common divisor of numbers 642, 108, 141, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 108, 141, 338 is 1.

1. What is the GCD of 642, 108, 141, 338?

GCD of given numbers 642, 108, 141, 338 is 1

2. How to calculate the greatest common divisor of 642, 108, 141, 338?

We can find the highest common divisor of 642, 108, 141, 338 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 642, 108, 141, 338 i.e 1.

3. How can I use the GCD of 642, 108, 141, 338Calculator?

Out the numbers 642, 108, 141, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.