GCD of 387, 351, 168, 474 Calculator

Given Input numbers are 387, 351, 168, 474

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (387, 351, 168, 474) = 3.

Given numbers are 387, 351, 168, 474

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 387, 351, 168, 474 is 3.

Given numbers are 387, 351, 168, 474

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

Apply this formula for all numbers.

Step1:

LCM(387, 351) = 15093

GCD(387, 351) = ( 387 x 351 ) / 15093

= 387 / 351

= 387

Step2:

LCM(9, 168) = 504

GCD(9, 168) = ( 9 x 168 ) / 504

= 9 / 168

= 9

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 387, 351, 168, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 214, 282, 726
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• GCD of 544, 318, 161, 369
• GCD of 360, 203, 801, 144
• GCD of 662, 768, 905, 269

Given numbers are 387, 351, 168, 474
The greatest common divisor of numbers 387, 351, 168, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 351, 168, 474 is 3.

1. What is the GCD of 387, 351, 168, 474?

GCD of given numbers 387, 351, 168, 474 is 3

2. How to calculate the greatest common divisor of 387, 351, 168, 474?

We can find the highest common divisor of 387, 351, 168, 474 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 387, 351, 168, 474 i.e 3.

3. How can I use the GCD of 387, 351, 168, 474Calculator?

Out the numbers 387, 351, 168, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.