GCD of 794, 126, 538, 106 Calculator

Given Input numbers are 794, 126, 538, 106

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

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (794, 126, 538, 106) = 2.

Given numbers are 794, 126, 538, 106

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 538 are 2 x 269

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 794, 126, 538, 106 is 2.

Given numbers are 794, 126, 538, 106

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

Apply this formula for all numbers.

Step1:

LCM(794, 126) = 50022

GCD(794, 126) = ( 794 x 126 ) / 50022

= 794 / 126

= 794

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

So, Greatest Common Divisor of 794, 126, 538, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 485, 614, 715
• GCD of 612, 212, 660, 506
• GCD of 559, 281, 733, 202
• GCD of 113, 831, 260, 209
• GCD of 665, 424, 698, 723

Given numbers are 794, 126, 538, 106
The greatest common divisor of numbers 794, 126, 538, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 126, 538, 106 is 2.

1. What is the GCD of 794, 126, 538, 106?

GCD of given numbers 794, 126, 538, 106 is 2

2. How to calculate the greatest common divisor of 794, 126, 538, 106?

We can find the highest common divisor of 794, 126, 538, 106 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 794, 126, 538, 106 i.e 2.

3. How can I use the GCD of 794, 126, 538, 106Calculator?

Out the numbers 794, 126, 538, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.