GCD of 738, 104, 829, 614 Calculator

Given Input numbers are 738, 104, 829, 614

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 829 :

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

1, 829

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (738, 104, 829, 614) = 1.

Given numbers are 738, 104, 829, 614

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 829 are 829

Prime factors of 614 are 2 x 307

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

Given numbers are 738, 104, 829, 614

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

Apply this formula for all numbers.

Step1:

LCM(738, 104) = 38376

GCD(738, 104) = ( 738 x 104 ) / 38376

= 738 / 104

= 738

Step2:

LCM(2, 829) = 1658

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

= 2 / 829

= 2

Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

So, Greatest Common Divisor of 738, 104, 829, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 220, 454, 403
• GCD of 947, 176, 886, 870
• GCD of 801, 396, 175, 601
• GCD of 706, 687, 753, 120
• GCD of 164, 709, 555, 922

Given numbers are 738, 104, 829, 614
The greatest common divisor of numbers 738, 104, 829, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 104, 829, 614 is 1.

1. What is the GCD of 738, 104, 829, 614?

GCD of given numbers 738, 104, 829, 614 is 1

2. How to calculate the greatest common divisor of 738, 104, 829, 614?

We can find the highest common divisor of 738, 104, 829, 614 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 738, 104, 829, 614 i.e 1.

3. How can I use the GCD of 738, 104, 829, 614Calculator?

Out the numbers 738, 104, 829, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.