GCD of 380, 702, 406, 314 Calculator

Given Input numbers are 380, 702, 406, 314

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

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (380, 702, 406, 314) = 2.

Given numbers are 380, 702, 406, 314

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 406 are 2 x 7 x 29

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 380, 702, 406, 314 is 2.

Given numbers are 380, 702, 406, 314

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

Apply this formula for all numbers.

Step1:

LCM(380, 702) = 133380

GCD(380, 702) = ( 380 x 702 ) / 133380

= 380 / 702

= 380

Step2:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 380, 702, 406, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 631, 135, 869
• GCD of 307, 220, 890, 182
• GCD of 914, 134, 610, 870
• GCD of 562, 531, 512, 126
• GCD of 605, 803, 219, 760

Given numbers are 380, 702, 406, 314
The greatest common divisor of numbers 380, 702, 406, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 702, 406, 314 is 2.

1. What is the GCD of 380, 702, 406, 314?

GCD of given numbers 380, 702, 406, 314 is 2

2. How to calculate the greatest common divisor of 380, 702, 406, 314?

We can find the highest common divisor of 380, 702, 406, 314 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 380, 702, 406, 314 i.e 2.

3. How can I use the GCD of 380, 702, 406, 314Calculator?

Out the numbers 380, 702, 406, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.