GCD of 120, 369, 650, 149 Calculator

Given Input numbers are 120, 369, 650, 149

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 149 :

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

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (120, 369, 650, 149) = 1.

Given numbers are 120, 369, 650, 149

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 369 are 3 x 3 x 41

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 149 are 149

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

Given numbers are 120, 369, 650, 149

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

Apply this formula for all numbers.

Step1:

LCM(120, 369) = 14760

GCD(120, 369) = ( 120 x 369 ) / 14760

= 120 / 369

= 120

Step2:

LCM(3, 650) = 1950

GCD(3, 650) = ( 3 x 650 ) / 1950

= 3 / 650

= 3

Step3:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

So, Greatest Common Divisor of 120, 369, 650, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 781, 364, 450
• GCD of 839, 810, 609, 387
• GCD of 404, 806, 567, 229
• GCD of 800, 748, 637, 157
• GCD of 164, 439, 174, 907

Given numbers are 120, 369, 650, 149
The greatest common divisor of numbers 120, 369, 650, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 369, 650, 149 is 1.

1. What is the GCD of 120, 369, 650, 149?

GCD of given numbers 120, 369, 650, 149 is 1

2. How to calculate the greatest common divisor of 120, 369, 650, 149?

We can find the highest common divisor of 120, 369, 650, 149 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, 369, 650, 149 i.e 1.

3. How can I use the GCD of 120, 369, 650, 149Calculator?

Out the numbers 120, 369, 650, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.