GCD of 308, 329, 378, 172 Calculator

Given Input numbers are 308, 329, 378, 172

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (308, 329, 378, 172) = 1.

Given numbers are 308, 329, 378, 172

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 329 are 7 x 47

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 308, 329, 378, 172

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

Apply this formula for all numbers.

Step1:

LCM(308, 329) = 14476

GCD(308, 329) = ( 308 x 329 ) / 14476

= 308 / 329

= 308

Step2:

LCM(7, 378) = 378

GCD(7, 378) = ( 7 x 378 ) / 378

= 7 / 378

= 7

Step3:

LCM(7, 172) = 1204

GCD(7, 172) = ( 7 x 172 ) / 1204

= 7 / 172

= 7

So, Greatest Common Divisor of 308, 329, 378, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 628, 824, 960
• GCD of 328, 252, 576, 524
• GCD of 429, 503, 177, 265
• GCD of 921, 148, 230, 907
• GCD of 270, 945, 631, 892

Given numbers are 308, 329, 378, 172
The greatest common divisor of numbers 308, 329, 378, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 329, 378, 172 is 1.

1. What is the GCD of 308, 329, 378, 172?

GCD of given numbers 308, 329, 378, 172 is 1

2. How to calculate the greatest common divisor of 308, 329, 378, 172?

We can find the highest common divisor of 308, 329, 378, 172 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 308, 329, 378, 172 i.e 1.

3. How can I use the GCD of 308, 329, 378, 172Calculator?

Out the numbers 308, 329, 378, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.