GCD of 378, 152, 872, 472 Calculator

Given Input numbers are 378, 152, 872, 472

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 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (378, 152, 872, 472) = 2.

Given numbers are 378, 152, 872, 472

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 152 are 2 x 2 x 2 x 19

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 378, 152, 872, 472 is 2.

Given numbers are 378, 152, 872, 472

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

Apply this formula for all numbers.

Step1:

LCM(378, 152) = 28728

GCD(378, 152) = ( 378 x 152 ) / 28728

= 378 / 152

= 378

Step2:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 378, 152, 872, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 316, 122, 130
• GCD of 974, 368, 710, 747
• GCD of 155, 900, 699, 126
• GCD of 116, 844, 573, 980
• GCD of 993, 115, 575, 877

Given numbers are 378, 152, 872, 472
The greatest common divisor of numbers 378, 152, 872, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 152, 872, 472 is 2.

1. What is the GCD of 378, 152, 872, 472?

GCD of given numbers 378, 152, 872, 472 is 2

2. How to calculate the greatest common divisor of 378, 152, 872, 472?

We can find the highest common divisor of 378, 152, 872, 472 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, 152, 872, 472 i.e 2.

3. How can I use the GCD of 378, 152, 872, 472Calculator?

Out the numbers 378, 152, 872, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.