GCD of 378, 383, 309, 784 Calculator

Given Input numbers are 378, 383, 309, 784

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 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (378, 383, 309, 784) = 1.

Given numbers are 378, 383, 309, 784

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 383 are 383

Prime factors of 309 are 3 x 103

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 378, 383, 309, 784

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

Apply this formula for all numbers.

Step1:

LCM(378, 383) = 144774

GCD(378, 383) = ( 378 x 383 ) / 144774

= 378 / 383

= 378

Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 378, 383, 309, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 711, 922, 460
• GCD of 867, 123, 757, 726
• GCD of 496, 150, 444, 259
• GCD of 877, 645, 843, 570
• GCD of 577, 119, 198, 410

Given numbers are 378, 383, 309, 784
The greatest common divisor of numbers 378, 383, 309, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 383, 309, 784 is 1.

1. What is the GCD of 378, 383, 309, 784?

GCD of given numbers 378, 383, 309, 784 is 1

2. How to calculate the greatest common divisor of 378, 383, 309, 784?

We can find the highest common divisor of 378, 383, 309, 784 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, 383, 309, 784 i.e 1.

3. How can I use the GCD of 378, 383, 309, 784Calculator?

Out the numbers 378, 383, 309, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.