GCD of 341, 714, 60, 380 Calculator

Given Input numbers are 341, 714, 60, 380

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

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 (341, 714, 60, 380) = 1.

Given numbers are 341, 714, 60, 380

The list of prime factors of all numbers are

Prime factors of 341 are 11 x 31

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 60 are 2 x 2 x 3 x 5

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

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

Given numbers are 341, 714, 60, 380

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

Apply this formula for all numbers.

Step1:

LCM(341, 714) = 243474

GCD(341, 714) = ( 341 x 714 ) / 243474

= 341 / 714

= 341

Step2:

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

= 1 / 60

= 1

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 341, 714, 60, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 867, 86, 732
• GCD of 443, 585, 40, 499
• GCD of 453, 514, 82, 611
• GCD of 458, 260, 33, 219
• GCD of 929, 633, 48, 476

Given numbers are 341, 714, 60, 380
The greatest common divisor of numbers 341, 714, 60, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 341, 714, 60, 380 is 1.

1. What is the GCD of 341, 714, 60, 380?

GCD of given numbers 341, 714, 60, 380 is 1

2. How to calculate the greatest common divisor of 341, 714, 60, 380?

We can find the highest common divisor of 341, 714, 60, 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 341, 714, 60, 380 i.e 1.

3. How can I use the GCD of 341, 714, 60, 380Calculator?

Out the numbers 341, 714, 60, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.