GCD of 290, 695, 380, 314 Calculator

Given Input numbers are 290, 695, 380, 314

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

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 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 (290, 695, 380, 314) = 1.

Given numbers are 290, 695, 380, 314

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 695 are 5 x 139

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

Prime factors of 314 are 2 x 157

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

Given numbers are 290, 695, 380, 314

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

Apply this formula for all numbers.

Step1:

LCM(290, 695) = 40310

GCD(290, 695) = ( 290 x 695 ) / 40310

= 290 / 695

= 290

Step2:

LCM(5, 380) = 380

GCD(5, 380) = ( 5 x 380 ) / 380

= 5 / 380

= 5

Step3:

LCM(5, 314) = 1570

GCD(5, 314) = ( 5 x 314 ) / 1570

= 5 / 314

= 5

So, Greatest Common Divisor of 290, 695, 380, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 429, 337, 544
• GCD of 289, 545, 180, 596
• GCD of 317, 821, 949, 929
• GCD of 176, 650, 363, 580
• GCD of 323, 445, 114, 252

Given numbers are 290, 695, 380, 314
The greatest common divisor of numbers 290, 695, 380, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 695, 380, 314 is 1.

1. What is the GCD of 290, 695, 380, 314?

GCD of given numbers 290, 695, 380, 314 is 1

2. How to calculate the greatest common divisor of 290, 695, 380, 314?

We can find the highest common divisor of 290, 695, 380, 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 290, 695, 380, 314 i.e 1.

3. How can I use the GCD of 290, 695, 380, 314Calculator?

Out the numbers 290, 695, 380, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.