GCD of 742, 159, 829, 378 Calculator

Given Input numbers are 742, 159, 829, 378

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

Divisors of 742 :

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

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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

GCD of numbers is the greatest common divisor

So, the GCD (742, 159, 829, 378) = 1.

Given numbers are 742, 159, 829, 378

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 159 are 3 x 53

Prime factors of 829 are 829

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

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

Given numbers are 742, 159, 829, 378

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

Apply this formula for all numbers.

Step1:

LCM(742, 159) = 2226

GCD(742, 159) = ( 742 x 159 ) / 2226

= 742 / 159

= 742

Step2:

LCM(53, 829) = 43937

GCD(53, 829) = ( 53 x 829 ) / 43937

= 53 / 829

= 53

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 742, 159, 829, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 669, 113, 396
• GCD of 203, 412, 483, 538
• GCD of 347, 443, 992, 259
• GCD of 146, 797, 772, 656
• GCD of 743, 898, 733, 573

Given numbers are 742, 159, 829, 378
The greatest common divisor of numbers 742, 159, 829, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 159, 829, 378 is 1.

1. What is the GCD of 742, 159, 829, 378?

GCD of given numbers 742, 159, 829, 378 is 1

2. How to calculate the greatest common divisor of 742, 159, 829, 378?

We can find the highest common divisor of 742, 159, 829, 378 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 742, 159, 829, 378 i.e 1.

3. How can I use the GCD of 742, 159, 829, 378Calculator?

Out the numbers 742, 159, 829, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.