GCD of 172, 349, 198, 313 Calculator

Given Input numbers are 172, 349, 198, 313

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

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 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 (172, 349, 198, 313) = 1.

Given numbers are 172, 349, 198, 313

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 349 are 349

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

Prime factors of 313 are 313

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

Given numbers are 172, 349, 198, 313

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

Apply this formula for all numbers.

Step1:

LCM(172, 349) = 60028

GCD(172, 349) = ( 172 x 349 ) / 60028

= 172 / 349

= 172

Step2:

LCM(1, 198) = 198

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

= 1 / 198

= 1

Step3:

LCM(1, 313) = 313

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

= 1 / 313

= 1

So, Greatest Common Divisor of 172, 349, 198, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 796, 714, 958
• GCD of 310, 368, 466, 371
• GCD of 990, 258, 320, 926
• GCD of 448, 876, 916, 102
• GCD of 567, 857, 572, 177

Given numbers are 172, 349, 198, 313
The greatest common divisor of numbers 172, 349, 198, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 349, 198, 313 is 1.

1. What is the GCD of 172, 349, 198, 313?

GCD of given numbers 172, 349, 198, 313 is 1

2. How to calculate the greatest common divisor of 172, 349, 198, 313?

We can find the highest common divisor of 172, 349, 198, 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 172, 349, 198, 313 i.e 1.

3. How can I use the GCD of 172, 349, 198, 313Calculator?

Out the numbers 172, 349, 198, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.