GCD of 820, 198, 633, 914 Calculator

Given Input numbers are 820, 198, 633, 914

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (820, 198, 633, 914) = 1.

Given numbers are 820, 198, 633, 914

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

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

Prime factors of 633 are 3 x 211

Prime factors of 914 are 2 x 457

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

Given numbers are 820, 198, 633, 914

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

Apply this formula for all numbers.

Step1:

LCM(820, 198) = 81180

GCD(820, 198) = ( 820 x 198 ) / 81180

= 820 / 198

= 820

Step2:

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

= 2 / 633

= 2

Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

So, Greatest Common Divisor of 820, 198, 633, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 396, 974, 257
• GCD of 731, 588, 624, 439
• GCD of 955, 318, 351, 721
• GCD of 855, 672, 506, 336
• GCD of 218, 852, 372, 620

Given numbers are 820, 198, 633, 914
The greatest common divisor of numbers 820, 198, 633, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 198, 633, 914 is 1.

1. What is the GCD of 820, 198, 633, 914?

GCD of given numbers 820, 198, 633, 914 is 1

2. How to calculate the greatest common divisor of 820, 198, 633, 914?

We can find the highest common divisor of 820, 198, 633, 914 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 820, 198, 633, 914 i.e 1.

3. How can I use the GCD of 820, 198, 633, 914Calculator?

Out the numbers 820, 198, 633, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.