GCD of 826, 104, 772, 738 Calculator

Given Input numbers are 826, 104, 772, 738

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 104 :

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

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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

GCD of numbers is the greatest common divisor

So, the GCD (826, 104, 772, 738) = 2.

Given numbers are 826, 104, 772, 738

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 772 are 2 x 2 x 193

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

The highest common occurrence is 2¹

Therefore, GCD of 826, 104, 772, 738 is 2.

Given numbers are 826, 104, 772, 738

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

Apply this formula for all numbers.

Step1:

LCM(826, 104) = 42952

GCD(826, 104) = ( 826 x 104 ) / 42952

= 826 / 104

= 826

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 826, 104, 772, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 380, 787, 428
• GCD of 171, 350, 261, 347
• GCD of 667, 897, 664, 253
• GCD of 993, 900, 647, 929
• GCD of 840, 968, 328, 683

Given numbers are 826, 104, 772, 738
The greatest common divisor of numbers 826, 104, 772, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 104, 772, 738 is 2.

1. What is the GCD of 826, 104, 772, 738?

GCD of given numbers 826, 104, 772, 738 is 2

2. How to calculate the greatest common divisor of 826, 104, 772, 738?

We can find the highest common divisor of 826, 104, 772, 738 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 826, 104, 772, 738 i.e 2.

3. How can I use the GCD of 826, 104, 772, 738Calculator?

Out the numbers 826, 104, 772, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.