GCD of 378, 105, 376, 576 Calculator

Given Input numbers are 378, 105, 376, 576

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 105 :

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

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (378, 105, 376, 576) = 1.

Given numbers are 378, 105, 376, 576

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 105 are 3 x 5 x 7

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 378, 105, 376, 576

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

Apply this formula for all numbers.

Step1:

LCM(378, 105) = 1890

GCD(378, 105) = ( 378 x 105 ) / 1890

= 378 / 105

= 378

Step2:

LCM(21, 376) = 7896

GCD(21, 376) = ( 21 x 376 ) / 7896

= 21 / 376

= 21

Step3:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

So, Greatest Common Divisor of 378, 105, 376, 576 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 528, 517, 669
• GCD of 642, 624, 979, 644
• GCD of 999, 896, 975, 124
• GCD of 247, 350, 719, 808
• GCD of 407, 721, 736, 332

Given numbers are 378, 105, 376, 576
The greatest common divisor of numbers 378, 105, 376, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 105, 376, 576 is 1.

1. What is the GCD of 378, 105, 376, 576?

GCD of given numbers 378, 105, 376, 576 is 1

2. How to calculate the greatest common divisor of 378, 105, 376, 576?

We can find the highest common divisor of 378, 105, 376, 576 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, 105, 376, 576 i.e 1.

3. How can I use the GCD of 378, 105, 376, 576Calculator?

Out the numbers 378, 105, 376, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.