GCD of 426, 729, 414, 938 Calculator

Given Input numbers are 426, 729, 414, 938

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 938 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (426, 729, 414, 938) = 1.

Given numbers are 426, 729, 414, 938

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 426, 729, 414, 938

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

Apply this formula for all numbers.

Step1:

LCM(426, 729) = 103518

GCD(426, 729) = ( 426 x 729 ) / 103518

= 426 / 729

= 426

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 938) = 2814

GCD(3, 938) = ( 3 x 938 ) / 2814

= 3 / 938

= 3

So, Greatest Common Divisor of 426, 729, 414, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 181, 722, 851
• GCD of 413, 457, 243, 593
• GCD of 942, 218, 585, 811
• GCD of 273, 183, 779, 239
• GCD of 885, 416, 194, 764

Given numbers are 426, 729, 414, 938
The greatest common divisor of numbers 426, 729, 414, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 729, 414, 938 is 1.

1. What is the GCD of 426, 729, 414, 938?

GCD of given numbers 426, 729, 414, 938 is 1

2. How to calculate the greatest common divisor of 426, 729, 414, 938?

We can find the highest common divisor of 426, 729, 414, 938 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 426, 729, 414, 938 i.e 1.

3. How can I use the GCD of 426, 729, 414, 938Calculator?

Out the numbers 426, 729, 414, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.