GCD of 120, 347, 379, 600 Calculator

Given Input numbers are 120, 347, 379, 600

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 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (120, 347, 379, 600) = 1.

Given numbers are 120, 347, 379, 600

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 347 are 347

Prime factors of 379 are 379

Prime factors of 600 are 2 x 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, 347, 379, 600

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

Apply this formula for all numbers.

Step1:

LCM(120, 347) = 41640

GCD(120, 347) = ( 120 x 347 ) / 41640

= 120 / 347

= 120

Step2:

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

= 1 / 379

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 120, 347, 379, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 828, 673, 171
• GCD of 982, 352, 587, 392
• GCD of 857, 119, 378, 576
• GCD of 792, 857, 992, 605
• GCD of 602, 506, 815, 333

Given numbers are 120, 347, 379, 600
The greatest common divisor of numbers 120, 347, 379, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 347, 379, 600 is 1.

1. What is the GCD of 120, 347, 379, 600?

GCD of given numbers 120, 347, 379, 600 is 1

2. How to calculate the greatest common divisor of 120, 347, 379, 600?

We can find the highest common divisor of 120, 347, 379, 600 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, 347, 379, 600 i.e 1.

3. How can I use the GCD of 120, 347, 379, 600Calculator?

Out the numbers 120, 347, 379, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.