GCD of 378, 375, 150, 207 Calculator

Given Input numbers are 378, 375, 150, 207

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

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

GCD of numbers is the greatest common divisor

So, the GCD (378, 375, 150, 207) = 3.

Given numbers are 378, 375, 150, 207

The list of prime factors of all numbers are

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 207 are 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 378, 375, 150, 207 is 3.

Given numbers are 378, 375, 150, 207

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

Apply this formula for all numbers.

Step1:

LCM(378, 375) = 47250

GCD(378, 375) = ( 378 x 375 ) / 47250

= 378 / 375

= 378

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

So, Greatest Common Divisor of 378, 375, 150, 207 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 371, 438, 792
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Given numbers are 378, 375, 150, 207
The greatest common divisor of numbers 378, 375, 150, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 375, 150, 207 is 3.

1. What is the GCD of 378, 375, 150, 207?

GCD of given numbers 378, 375, 150, 207 is 3

2. How to calculate the greatest common divisor of 378, 375, 150, 207?

We can find the highest common divisor of 378, 375, 150, 207 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 378, 375, 150, 207 i.e 3.

3. How can I use the GCD of 378, 375, 150, 207Calculator?

Out the numbers 378, 375, 150, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.