GCD of 376, 351, 378, 814 Calculator

Given Input numbers are 376, 351, 378, 814

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 351 :

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

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

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (376, 351, 378, 814) = 1.

Given numbers are 376, 351, 378, 814

The list of prime factors of all numbers are

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

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 376, 351, 378, 814

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

Apply this formula for all numbers.

Step1:

LCM(376, 351) = 131976

GCD(376, 351) = ( 376 x 351 ) / 131976

= 376 / 351

= 376

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 376, 351, 378, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 146, 242, 457
• GCD of 889, 671, 105, 392
• GCD of 236, 378, 149, 912
• GCD of 937, 163, 809, 501
• GCD of 781, 617, 309, 518

Given numbers are 376, 351, 378, 814
The greatest common divisor of numbers 376, 351, 378, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 351, 378, 814 is 1.

1. What is the GCD of 376, 351, 378, 814?

GCD of given numbers 376, 351, 378, 814 is 1

2. How to calculate the greatest common divisor of 376, 351, 378, 814?

We can find the highest common divisor of 376, 351, 378, 814 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, 351, 378, 814 i.e 1.

3. How can I use the GCD of 376, 351, 378, 814Calculator?

Out the numbers 376, 351, 378, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.