GCD of 384, 312, 741, 654 Calculator

Given Input numbers are 384, 312, 741, 654

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (384, 312, 741, 654) = 3.

Given numbers are 384, 312, 741, 654

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 741 are 3 x 13 x 19

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 384, 312, 741, 654 is 3.

Given numbers are 384, 312, 741, 654

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

Apply this formula for all numbers.

Step1:

LCM(384, 312) = 4992

GCD(384, 312) = ( 384 x 312 ) / 4992

= 384 / 312

= 384

Step2:

LCM(24, 741) = 5928

GCD(24, 741) = ( 24 x 741 ) / 5928

= 24 / 741

= 24

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 384, 312, 741, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 974, 812, 312
• GCD of 902, 336, 548, 908
• GCD of 595, 839, 451, 415
• GCD of 577, 761, 801, 982
• GCD of 852, 568, 331, 689

Given numbers are 384, 312, 741, 654
The greatest common divisor of numbers 384, 312, 741, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 312, 741, 654 is 3.

1. What is the GCD of 384, 312, 741, 654?

GCD of given numbers 384, 312, 741, 654 is 3

2. How to calculate the greatest common divisor of 384, 312, 741, 654?

We can find the highest common divisor of 384, 312, 741, 654 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 384, 312, 741, 654 i.e 3.

3. How can I use the GCD of 384, 312, 741, 654Calculator?

Out the numbers 384, 312, 741, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.