GCD of 120, 694, 301, 300 Calculator

Given Input numbers are 120, 694, 301, 300

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

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 (120, 694, 301, 300) = 1.

Given numbers are 120, 694, 301, 300

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 694 are 2 x 347

Prime factors of 301 are 7 x 43

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 120, 694, 301, 300

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

Apply this formula for all numbers.

Step1:

LCM(120, 694) = 41640

GCD(120, 694) = ( 120 x 694 ) / 41640

= 120 / 694

= 120

Step2:

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

= 2 / 301

= 2

Step3:

LCM(1, 300) = 300

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

= 1 / 300

= 1

So, Greatest Common Divisor of 120, 694, 301, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 529, 922, 746
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• GCD of 788, 272, 801, 241
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Given numbers are 120, 694, 301, 300
The greatest common divisor of numbers 120, 694, 301, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 694, 301, 300 is 1.

1. What is the GCD of 120, 694, 301, 300?

GCD of given numbers 120, 694, 301, 300 is 1

2. How to calculate the greatest common divisor of 120, 694, 301, 300?

We can find the highest common divisor of 120, 694, 301, 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 120, 694, 301, 300 i.e 1.

3. How can I use the GCD of 120, 694, 301, 300Calculator?

Out the numbers 120, 694, 301, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.