GCD of 696, 198, 822, 949 Calculator

Given Input numbers are 696, 198, 822, 949

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

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (696, 198, 822, 949) = 1.

Given numbers are 696, 198, 822, 949

The list of prime factors of all numbers are

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

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 822 are 2 x 3 x 137

Prime factors of 949 are 13 x 73

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

Given numbers are 696, 198, 822, 949

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

Apply this formula for all numbers.

Step1:

LCM(696, 198) = 22968

GCD(696, 198) = ( 696 x 198 ) / 22968

= 696 / 198

= 696

Step2:

LCM(6, 822) = 822

GCD(6, 822) = ( 6 x 822 ) / 822

= 6 / 822

= 6

Step3:

LCM(6, 949) = 5694

GCD(6, 949) = ( 6 x 949 ) / 5694

= 6 / 949

= 6

So, Greatest Common Divisor of 696, 198, 822, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 984, 647, 895
• GCD of 420, 207, 498, 373
• GCD of 307, 551, 598, 107
• GCD of 436, 682, 675, 484
• GCD of 691, 988, 349, 919

Given numbers are 696, 198, 822, 949
The greatest common divisor of numbers 696, 198, 822, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 198, 822, 949 is 1.

1. What is the GCD of 696, 198, 822, 949?

GCD of given numbers 696, 198, 822, 949 is 1

2. How to calculate the greatest common divisor of 696, 198, 822, 949?

We can find the highest common divisor of 696, 198, 822, 949 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 696, 198, 822, 949 i.e 1.

3. How can I use the GCD of 696, 198, 822, 949Calculator?

Out the numbers 696, 198, 822, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.