GCD of 916, 714, 829, 438 Calculator

Given Input numbers are 916, 714, 829, 438

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 829 :

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

1, 829

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (916, 714, 829, 438) = 1.

Given numbers are 916, 714, 829, 438

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 829 are 829

Prime factors of 438 are 2 x 3 x 73

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

Given numbers are 916, 714, 829, 438

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

Apply this formula for all numbers.

Step1:

LCM(916, 714) = 327012

GCD(916, 714) = ( 916 x 714 ) / 327012

= 916 / 714

= 916

Step2:

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

= 2 / 829

= 2

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 916, 714, 829, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 722, 762, 789
• GCD of 488, 907, 829, 391
• GCD of 371, 385, 728, 465
• GCD of 832, 757, 557, 464
• GCD of 441, 714, 912, 652

Given numbers are 916, 714, 829, 438
The greatest common divisor of numbers 916, 714, 829, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 714, 829, 438 is 1.

1. What is the GCD of 916, 714, 829, 438?

GCD of given numbers 916, 714, 829, 438 is 1

2. How to calculate the greatest common divisor of 916, 714, 829, 438?

We can find the highest common divisor of 916, 714, 829, 438 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 916, 714, 829, 438 i.e 1.

3. How can I use the GCD of 916, 714, 829, 438Calculator?

Out the numbers 916, 714, 829, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.