GCD of 376, 768, 420, 463 Calculator

Given Input numbers are 376, 768, 420, 463

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

Divisors of 376 :

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

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

GCD of numbers is the greatest common divisor

So, the GCD (376, 768, 420, 463) = 1.

Given numbers are 376, 768, 420, 463

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 463 are 463

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

Given numbers are 376, 768, 420, 463

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

Apply this formula for all numbers.

Step1:

LCM(376, 768) = 36096

GCD(376, 768) = ( 376 x 768 ) / 36096

= 376 / 768

= 376

Step2:

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

= 8 / 420

= 8

Step3:

LCM(4, 463) = 1852

GCD(4, 463) = ( 4 x 463 ) / 1852

= 4 / 463

= 4

So, Greatest Common Divisor of 376, 768, 420, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 725, 214, 630
• GCD of 964, 121, 905, 779
• GCD of 943, 321, 254, 469
• GCD of 791, 191, 799, 715
• GCD of 447, 988, 882, 660

Given numbers are 376, 768, 420, 463
The greatest common divisor of numbers 376, 768, 420, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 768, 420, 463 is 1.

1. What is the GCD of 376, 768, 420, 463?

GCD of given numbers 376, 768, 420, 463 is 1

2. How to calculate the greatest common divisor of 376, 768, 420, 463?

We can find the highest common divisor of 376, 768, 420, 463 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 376, 768, 420, 463 i.e 1.

3. How can I use the GCD of 376, 768, 420, 463Calculator?

Out the numbers 376, 768, 420, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.