GCD of 378, 624, 105, 133 Calculator

Given Input numbers are 378, 624, 105, 133

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 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

GCD of numbers is the greatest common divisor

So, the GCD (378, 624, 105, 133) = 1.

Given numbers are 378, 624, 105, 133

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 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 105 are 3 x 5 x 7

Prime factors of 133 are 7 x 19

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

Given numbers are 378, 624, 105, 133

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

Apply this formula for all numbers.

Step1:

LCM(378, 624) = 39312

GCD(378, 624) = ( 378 x 624 ) / 39312

= 378 / 624

= 378

Step2:

LCM(6, 105) = 210

GCD(6, 105) = ( 6 x 105 ) / 210

= 6 / 105

= 6

Step3:

LCM(3, 133) = 399

GCD(3, 133) = ( 3 x 133 ) / 399

= 3 / 133

= 3

So, Greatest Common Divisor of 378, 624, 105, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 839, 454, 692
• GCD of 374, 235, 214, 466
• GCD of 494, 371, 219, 177
• GCD of 569, 785, 884, 220
• GCD of 914, 661, 975, 512

Given numbers are 378, 624, 105, 133
The greatest common divisor of numbers 378, 624, 105, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 624, 105, 133 is 1.

1. What is the GCD of 378, 624, 105, 133?

GCD of given numbers 378, 624, 105, 133 is 1

2. How to calculate the greatest common divisor of 378, 624, 105, 133?

We can find the highest common divisor of 378, 624, 105, 133 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, 624, 105, 133 i.e 1.

3. How can I use the GCD of 378, 624, 105, 133Calculator?

Out the numbers 378, 624, 105, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.