GCD of 198, 743, 724, 313 Calculator

Given Input numbers are 198, 743, 724, 313

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 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (198, 743, 724, 313) = 1.

Given numbers are 198, 743, 724, 313

The list of prime factors of all numbers are

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

Prime factors of 743 are 743

Prime factors of 724 are 2 x 2 x 181

Prime factors of 313 are 313

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

Given numbers are 198, 743, 724, 313

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

Apply this formula for all numbers.

Step1:

LCM(198, 743) = 147114

GCD(198, 743) = ( 198 x 743 ) / 147114

= 198 / 743

= 198

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

So, Greatest Common Divisor of 198, 743, 724, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 402, 596, 530
• GCD of 972, 384, 694, 602
• GCD of 916, 292, 249, 136
• GCD of 711, 297, 147, 631
• GCD of 491, 341, 510, 591

Given numbers are 198, 743, 724, 313
The greatest common divisor of numbers 198, 743, 724, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 743, 724, 313 is 1.

1. What is the GCD of 198, 743, 724, 313?

GCD of given numbers 198, 743, 724, 313 is 1

2. How to calculate the greatest common divisor of 198, 743, 724, 313?

We can find the highest common divisor of 198, 743, 724, 313 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, 743, 724, 313 i.e 1.

3. How can I use the GCD of 198, 743, 724, 313Calculator?

Out the numbers 198, 743, 724, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.