GCD of 150, 289, 287, 340 Calculator

Given Input numbers are 150, 289, 287, 340

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (150, 289, 287, 340) = 1.

Given numbers are 150, 289, 287, 340

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 289 are 17 x 17

Prime factors of 287 are 7 x 41

Prime factors of 340 are 2 x 2 x 5 x 17

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

Given numbers are 150, 289, 287, 340

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

Apply this formula for all numbers.

Step1:

LCM(150, 289) = 43350

GCD(150, 289) = ( 150 x 289 ) / 43350

= 150 / 289

= 150

Step2:

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

= 1 / 287

= 1

Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

So, Greatest Common Divisor of 150, 289, 287, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 551, 982, 538
• GCD of 973, 675, 290, 925
• GCD of 266, 502, 498, 845
• GCD of 352, 219, 607, 404
• GCD of 527, 448, 763, 300

Given numbers are 150, 289, 287, 340
The greatest common divisor of numbers 150, 289, 287, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 289, 287, 340 is 1.

1. What is the GCD of 150, 289, 287, 340?

GCD of given numbers 150, 289, 287, 340 is 1

2. How to calculate the greatest common divisor of 150, 289, 287, 340?

We can find the highest common divisor of 150, 289, 287, 340 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 150, 289, 287, 340 i.e 1.

3. How can I use the GCD of 150, 289, 287, 340Calculator?

Out the numbers 150, 289, 287, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.