GCD of 381, 838, 742, 169 Calculator

Given Input numbers are 381, 838, 742, 169

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

GCD of numbers is the greatest common divisor

So, the GCD (381, 838, 742, 169) = 1.

Given numbers are 381, 838, 742, 169

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 838 are 2 x 419

Prime factors of 742 are 2 x 7 x 53

Prime factors of 169 are 13 x 13

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

Given numbers are 381, 838, 742, 169

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

Apply this formula for all numbers.

Step1:

LCM(381, 838) = 319278

GCD(381, 838) = ( 381 x 838 ) / 319278

= 381 / 838

= 381

Step2:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

Step3:

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

= 1 / 169

= 1

So, Greatest Common Divisor of 381, 838, 742, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 903, 148, 754
• GCD of 484, 994, 916, 945
• GCD of 826, 325, 745, 970
• GCD of 103, 873, 318, 361
• GCD of 105, 676, 831, 240

Given numbers are 381, 838, 742, 169
The greatest common divisor of numbers 381, 838, 742, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 838, 742, 169 is 1.

1. What is the GCD of 381, 838, 742, 169?

GCD of given numbers 381, 838, 742, 169 is 1

2. How to calculate the greatest common divisor of 381, 838, 742, 169?

We can find the highest common divisor of 381, 838, 742, 169 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 381, 838, 742, 169 i.e 1.

3. How can I use the GCD of 381, 838, 742, 169Calculator?

Out the numbers 381, 838, 742, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.