GCD of 742, 642, 713, 300 Calculator

Given Input numbers are 742, 642, 713, 300

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

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 (742, 642, 713, 300) = 1.

Given numbers are 742, 642, 713, 300

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 642 are 2 x 3 x 107

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 742, 642, 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(742, 642) = 238182

GCD(742, 642) = ( 742 x 642 ) / 238182

= 742 / 642

= 742

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 742, 642, 713, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 935, 130, 290
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• GCD of 735, 580, 806, 498
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• GCD of 815, 723, 352, 975

Given numbers are 742, 642, 713, 300
The greatest common divisor of numbers 742, 642, 713, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 642, 713, 300 is 1.

1. What is the GCD of 742, 642, 713, 300?

GCD of given numbers 742, 642, 713, 300 is 1

2. How to calculate the greatest common divisor of 742, 642, 713, 300?

We can find the highest common divisor of 742, 642, 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 742, 642, 713, 300 i.e 1.

3. How can I use the GCD of 742, 642, 713, 300Calculator?

Out the numbers 742, 642, 713, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.