GCD of 389, 714, 150, 420 Calculator

Given Input numbers are 389, 714, 150, 420

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

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (389, 714, 150, 420) = 1.

Given numbers are 389, 714, 150, 420

The list of prime factors of all numbers are

Prime factors of 389 are 389

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 389, 714, 150, 420

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

Apply this formula for all numbers.

Step1:

LCM(389, 714) = 277746

GCD(389, 714) = ( 389 x 714 ) / 277746

= 389 / 714

= 389

Step2:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 389, 714, 150, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 687, 909, 328
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• GCD of 581, 696, 568, 508
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• GCD of 335, 539, 725, 202

Given numbers are 389, 714, 150, 420
The greatest common divisor of numbers 389, 714, 150, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 389, 714, 150, 420 is 1.

1. What is the GCD of 389, 714, 150, 420?

GCD of given numbers 389, 714, 150, 420 is 1

2. How to calculate the greatest common divisor of 389, 714, 150, 420?

We can find the highest common divisor of 389, 714, 150, 420 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 389, 714, 150, 420 i.e 1.

3. How can I use the GCD of 389, 714, 150, 420Calculator?

Out the numbers 389, 714, 150, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.