GCD of 826, 196, 696, 506 Calculator

Given Input numbers are 826, 196, 696, 506

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (826, 196, 696, 506) = 2.

Given numbers are 826, 196, 696, 506

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 826, 196, 696, 506 is 2.

Given numbers are 826, 196, 696, 506

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

Apply this formula for all numbers.

Step1:

LCM(826, 196) = 11564

GCD(826, 196) = ( 826 x 196 ) / 11564

= 826 / 196

= 826

Step2:

LCM(14, 696) = 4872

GCD(14, 696) = ( 14 x 696 ) / 4872

= 14 / 696

= 14

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 826, 196, 696, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 899, 418, 130
• GCD of 389, 720, 215, 139
• GCD of 466, 738, 897, 581
• GCD of 538, 312, 241, 797
• GCD of 760, 517, 289, 589

Given numbers are 826, 196, 696, 506
The greatest common divisor of numbers 826, 196, 696, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 196, 696, 506 is 2.

1. What is the GCD of 826, 196, 696, 506?

GCD of given numbers 826, 196, 696, 506 is 2

2. How to calculate the greatest common divisor of 826, 196, 696, 506?

We can find the highest common divisor of 826, 196, 696, 506 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, 196, 696, 506 i.e 2.

3. How can I use the GCD of 826, 196, 696, 506Calculator?

Out the numbers 826, 196, 696, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.