GCD of 120, 345, 229, 492 Calculator

Given Input numbers are 120, 345, 229, 492

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 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (120, 345, 229, 492) = 1.

Given numbers are 120, 345, 229, 492

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 345 are 3 x 5 x 23

Prime factors of 229 are 229

Prime factors of 492 are 2 x 2 x 3 x 41

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

Given numbers are 120, 345, 229, 492

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

Apply this formula for all numbers.

Step1:

LCM(120, 345) = 2760

GCD(120, 345) = ( 120 x 345 ) / 2760

= 120 / 345

= 120

Step2:

LCM(15, 229) = 3435

GCD(15, 229) = ( 15 x 229 ) / 3435

= 15 / 229

= 15

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 120, 345, 229, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 623, 817, 139
• GCD of 573, 663, 106, 587
• GCD of 453, 342, 703, 897
• GCD of 742, 885, 103, 876
• GCD of 298, 293, 589, 989

Given numbers are 120, 345, 229, 492
The greatest common divisor of numbers 120, 345, 229, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 345, 229, 492 is 1.

1. What is the GCD of 120, 345, 229, 492?

GCD of given numbers 120, 345, 229, 492 is 1

2. How to calculate the greatest common divisor of 120, 345, 229, 492?

We can find the highest common divisor of 120, 345, 229, 492 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, 345, 229, 492 i.e 1.

3. How can I use the GCD of 120, 345, 229, 492Calculator?

Out the numbers 120, 345, 229, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.