GCD of 724, 785, 646, 198 Calculator

Given Input numbers are 724, 785, 646, 198

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

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

GCD of numbers is the greatest common divisor

So, the GCD (724, 785, 646, 198) = 1.

Given numbers are 724, 785, 646, 198

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 785 are 5 x 157

Prime factors of 646 are 2 x 17 x 19

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

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

Given numbers are 724, 785, 646, 198

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

Apply this formula for all numbers.

Step1:

LCM(724, 785) = 568340

GCD(724, 785) = ( 724 x 785 ) / 568340

= 724 / 785

= 724

Step2:

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

= 1 / 646

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 724, 785, 646, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 300, 904, 107
• GCD of 938, 316, 763, 158
• GCD of 554, 993, 668, 244
• GCD of 280, 820, 233, 822
• GCD of 417, 502, 331, 460

Given numbers are 724, 785, 646, 198
The greatest common divisor of numbers 724, 785, 646, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 785, 646, 198 is 1.

1. What is the GCD of 724, 785, 646, 198?

GCD of given numbers 724, 785, 646, 198 is 1

2. How to calculate the greatest common divisor of 724, 785, 646, 198?

We can find the highest common divisor of 724, 785, 646, 198 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 724, 785, 646, 198 i.e 1.

3. How can I use the GCD of 724, 785, 646, 198Calculator?

Out the numbers 724, 785, 646, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.