GCD of 731, 548, 392, 198 Calculator

Given Input numbers are 731, 548, 392, 198

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 (731, 548, 392, 198) = 1.

Given numbers are 731, 548, 392, 198

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 548 are 2 x 2 x 137

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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 731, 548, 392, 198

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

Apply this formula for all numbers.

Step1:

LCM(731, 548) = 400588

GCD(731, 548) = ( 731 x 548 ) / 400588

= 731 / 548

= 731

Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 731, 548, 392, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 988, 923, 111
• GCD of 150, 985, 693, 780
• GCD of 781, 290, 774, 735
• GCD of 576, 659, 176, 704
• GCD of 256, 305, 316, 949

Given numbers are 731, 548, 392, 198
The greatest common divisor of numbers 731, 548, 392, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 548, 392, 198 is 1.

1. What is the GCD of 731, 548, 392, 198?

GCD of given numbers 731, 548, 392, 198 is 1

2. How to calculate the greatest common divisor of 731, 548, 392, 198?

We can find the highest common divisor of 731, 548, 392, 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 731, 548, 392, 198 i.e 1.

3. How can I use the GCD of 731, 548, 392, 198Calculator?

Out the numbers 731, 548, 392, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.