GCD of 120, 270, 198, 269 Calculator

Given Input numbers are 120, 270, 198, 269

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (120, 270, 198, 269) = 1.

Given numbers are 120, 270, 198, 269

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 269 are 269

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

Given numbers are 120, 270, 198, 269

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

Apply this formula for all numbers.

Step1:

LCM(120, 270) = 1080

GCD(120, 270) = ( 120 x 270 ) / 1080

= 120 / 270

= 120

Step2:

LCM(30, 198) = 990

GCD(30, 198) = ( 30 x 198 ) / 990

= 30 / 198

= 30

Step3:

LCM(6, 269) = 1614

GCD(6, 269) = ( 6 x 269 ) / 1614

= 6 / 269

= 6

So, Greatest Common Divisor of 120, 270, 198, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 119, 818, 328
• GCD of 647, 827, 601, 720
• GCD of 373, 548, 769, 694
• GCD of 822, 597, 983, 661
• GCD of 970, 966, 262, 721

Given numbers are 120, 270, 198, 269
The greatest common divisor of numbers 120, 270, 198, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 270, 198, 269 is 1.

1. What is the GCD of 120, 270, 198, 269?

GCD of given numbers 120, 270, 198, 269 is 1

2. How to calculate the greatest common divisor of 120, 270, 198, 269?

We can find the highest common divisor of 120, 270, 198, 269 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, 270, 198, 269 i.e 1.

3. How can I use the GCD of 120, 270, 198, 269Calculator?

Out the numbers 120, 270, 198, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.