GCD of 378, 814, 144, 777 Calculator

Given Input numbers are 378, 814, 144, 777

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 814 :

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

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

GCD of numbers is the greatest common divisor

So, the GCD (378, 814, 144, 777) = 1.

Given numbers are 378, 814, 144, 777

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 814 are 2 x 11 x 37

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 777 are 3 x 7 x 37

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

Given numbers are 378, 814, 144, 777

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

Apply this formula for all numbers.

Step1:

LCM(378, 814) = 153846

GCD(378, 814) = ( 378 x 814 ) / 153846

= 378 / 814

= 378

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 777) = 1554

GCD(2, 777) = ( 2 x 777 ) / 1554

= 2 / 777

= 2

So, Greatest Common Divisor of 378, 814, 144, 777 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 682, 216, 999
• GCD of 595, 773, 894, 321
• GCD of 171, 458, 580, 870
• GCD of 674, 775, 730, 720
• GCD of 843, 821, 583, 527

Given numbers are 378, 814, 144, 777
The greatest common divisor of numbers 378, 814, 144, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 814, 144, 777 is 1.

1. What is the GCD of 378, 814, 144, 777?

GCD of given numbers 378, 814, 144, 777 is 1

2. How to calculate the greatest common divisor of 378, 814, 144, 777?

We can find the highest common divisor of 378, 814, 144, 777 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, 814, 144, 777 i.e 1.

3. How can I use the GCD of 378, 814, 144, 777Calculator?

Out the numbers 378, 814, 144, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.