GCD of 693, 198, 557, 231 Calculator

Given Input numbers are 693, 198, 557, 231

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (693, 198, 557, 231) = 1.

Given numbers are 693, 198, 557, 231

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

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

Prime factors of 557 are 557

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 693, 198, 557, 231

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

Apply this formula for all numbers.

Step1:

LCM(693, 198) = 1386

GCD(693, 198) = ( 693 x 198 ) / 1386

= 693 / 198

= 693

Step2:

LCM(99, 557) = 55143

GCD(99, 557) = ( 99 x 557 ) / 55143

= 99 / 557

= 99

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 693, 198, 557, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 782, 672, 908
• GCD of 824, 706, 137, 528
• GCD of 439, 588, 415, 273
• GCD of 263, 964, 350, 797
• GCD of 419, 221, 104, 975

Given numbers are 693, 198, 557, 231
The greatest common divisor of numbers 693, 198, 557, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 198, 557, 231 is 1.

1. What is the GCD of 693, 198, 557, 231?

GCD of given numbers 693, 198, 557, 231 is 1

2. How to calculate the greatest common divisor of 693, 198, 557, 231?

We can find the highest common divisor of 693, 198, 557, 231 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 693, 198, 557, 231 i.e 1.

3. How can I use the GCD of 693, 198, 557, 231Calculator?

Out the numbers 693, 198, 557, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.