GCD of 172, 475, 138, 378 Calculator

Given Input numbers are 172, 475, 138, 378

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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

GCD of numbers is the greatest common divisor

So, the GCD (172, 475, 138, 378) = 1.

Given numbers are 172, 475, 138, 378

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 475 are 5 x 5 x 19

Prime factors of 138 are 2 x 3 x 23

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

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

Given numbers are 172, 475, 138, 378

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

Apply this formula for all numbers.

Step1:

LCM(172, 475) = 81700

GCD(172, 475) = ( 172 x 475 ) / 81700

= 172 / 475

= 172

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 172, 475, 138, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 793, 373, 150
• GCD of 951, 466, 251, 304
• GCD of 307, 176, 281, 101
• GCD of 957, 464, 863, 889
• GCD of 915, 723, 352, 399

Given numbers are 172, 475, 138, 378
The greatest common divisor of numbers 172, 475, 138, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 475, 138, 378 is 1.

1. What is the GCD of 172, 475, 138, 378?

GCD of given numbers 172, 475, 138, 378 is 1

2. How to calculate the greatest common divisor of 172, 475, 138, 378?

We can find the highest common divisor of 172, 475, 138, 378 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, 475, 138, 378 i.e 1.

3. How can I use the GCD of 172, 475, 138, 378Calculator?

Out the numbers 172, 475, 138, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.