GCD of 424, 342, 713, 300 Calculator

Given Input numbers are 424, 342, 713, 300

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (424, 342, 713, 300) = 1.

Given numbers are 424, 342, 713, 300

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 713 are 23 x 31

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 424, 342, 713, 300

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

Apply this formula for all numbers.

Step1:

LCM(424, 342) = 72504

GCD(424, 342) = ( 424 x 342 ) / 72504

= 424 / 342

= 424

Step2:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 424, 342, 713, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 858, 114, 390
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• GCD of 620, 680, 373, 539

Given numbers are 424, 342, 713, 300
The greatest common divisor of numbers 424, 342, 713, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 342, 713, 300 is 1.

1. What is the GCD of 424, 342, 713, 300?

GCD of given numbers 424, 342, 713, 300 is 1

2. How to calculate the greatest common divisor of 424, 342, 713, 300?

We can find the highest common divisor of 424, 342, 713, 300 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 424, 342, 713, 300 i.e 1.

3. How can I use the GCD of 424, 342, 713, 300Calculator?

Out the numbers 424, 342, 713, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.