GCD of 198, 712, 51, 727 Calculator

Given Input numbers are 198, 712, 51, 727

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

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

GCD of numbers is the greatest common divisor

So, the GCD (198, 712, 51, 727) = 1.

Given numbers are 198, 712, 51, 727

The list of prime factors of all numbers are

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

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 51 are 3 x 17

Prime factors of 727 are 727

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

Given numbers are 198, 712, 51, 727

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

Apply this formula for all numbers.

Step1:

LCM(198, 712) = 70488

GCD(198, 712) = ( 198 x 712 ) / 70488

= 198 / 712

= 198

Step2:

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

= 2 / 51

= 2

Step3:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1

So, Greatest Common Divisor of 198, 712, 51, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 797, 17, 427
• GCD of 454, 669, 82, 239
• GCD of 824, 349, 47, 156
• GCD of 980, 346, 36, 273
• GCD of 233, 911, 60, 941

Given numbers are 198, 712, 51, 727
The greatest common divisor of numbers 198, 712, 51, 727 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 712, 51, 727 is 1.

1. What is the GCD of 198, 712, 51, 727?

GCD of given numbers 198, 712, 51, 727 is 1

2. How to calculate the greatest common divisor of 198, 712, 51, 727?

We can find the highest common divisor of 198, 712, 51, 727 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 198, 712, 51, 727 i.e 1.

3. How can I use the GCD of 198, 712, 51, 727Calculator?

Out the numbers 198, 712, 51, 727 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.