GCD of 704, 442, 78, 380 Calculator

Given Input numbers are 704, 442, 78, 380

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (704, 442, 78, 380) = 2.

Given numbers are 704, 442, 78, 380

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 442 are 2 x 13 x 17

Prime factors of 78 are 2 x 3 x 13

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 704, 442, 78, 380 is 2.

Given numbers are 704, 442, 78, 380

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

Apply this formula for all numbers.

Step1:

LCM(704, 442) = 155584

GCD(704, 442) = ( 704 x 442 ) / 155584

= 704 / 442

= 704

Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 704, 442, 78, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 722, 86, 700
• GCD of 478, 273, 10, 120
• GCD of 426, 438, 43, 942
• GCD of 317, 297, 16, 628
• GCD of 321, 107, 90, 585

Given numbers are 704, 442, 78, 380
The greatest common divisor of numbers 704, 442, 78, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 442, 78, 380 is 2.

1. What is the GCD of 704, 442, 78, 380?

GCD of given numbers 704, 442, 78, 380 is 2

2. How to calculate the greatest common divisor of 704, 442, 78, 380?

We can find the highest common divisor of 704, 442, 78, 380 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 704, 442, 78, 380 i.e 2.

3. How can I use the GCD of 704, 442, 78, 380Calculator?

Out the numbers 704, 442, 78, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.