GCD of 149, 120, 589, 919 Calculator

Given Input numbers are 149, 120, 589, 919

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

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 919 :

The positive integer divisors of 919 that completely divides 919 are.

1, 919

GCD of numbers is the greatest common divisor

So, the GCD (149, 120, 589, 919) = 1.

Given numbers are 149, 120, 589, 919

The list of prime factors of all numbers are

Prime factors of 149 are 149

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

Prime factors of 589 are 19 x 31

Prime factors of 919 are 919

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

Given numbers are 149, 120, 589, 919

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

Apply this formula for all numbers.

Step1:

LCM(149, 120) = 17880

GCD(149, 120) = ( 149 x 120 ) / 17880

= 149 / 120

= 149

Step2:

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

= 1 / 589

= 1

Step3:

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

= 1 / 919

= 1

So, Greatest Common Divisor of 149, 120, 589, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 741, 680, 578
• GCD of 168, 646, 857, 397
• GCD of 990, 763, 387, 689
• GCD of 779, 734, 105, 161
• GCD of 471, 303, 676, 227

Given numbers are 149, 120, 589, 919
The greatest common divisor of numbers 149, 120, 589, 919 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 120, 589, 919 is 1.

1. What is the GCD of 149, 120, 589, 919?

GCD of given numbers 149, 120, 589, 919 is 1

2. How to calculate the greatest common divisor of 149, 120, 589, 919?

We can find the highest common divisor of 149, 120, 589, 919 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 149, 120, 589, 919 i.e 1.

3. How can I use the GCD of 149, 120, 589, 919Calculator?

Out the numbers 149, 120, 589, 919 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.