GCD of 240, 289, 84, 975 Calculator

Given Input numbers are 240, 289, 84, 975

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 289 :

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

1, 17, 289

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (240, 289, 84, 975) = 1.

Given numbers are 240, 289, 84, 975

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 289 are 17 x 17

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 975 are 3 x 5 x 5 x 13

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

Given numbers are 240, 289, 84, 975

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

Apply this formula for all numbers.

Step1:

LCM(240, 289) = 69360

GCD(240, 289) = ( 240 x 289 ) / 69360

= 240 / 289

= 240

Step2:

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

= 1 / 84

= 1

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 240, 289, 84, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 873, 21, 280
• GCD of 706, 565, 21, 145
• GCD of 899, 614, 92, 372
• GCD of 400, 784, 54, 799
• GCD of 608, 361, 99, 760

Given numbers are 240, 289, 84, 975
The greatest common divisor of numbers 240, 289, 84, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 289, 84, 975 is 1.

1. What is the GCD of 240, 289, 84, 975?

GCD of given numbers 240, 289, 84, 975 is 1

2. How to calculate the greatest common divisor of 240, 289, 84, 975?

We can find the highest common divisor of 240, 289, 84, 975 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 240, 289, 84, 975 i.e 1.

3. How can I use the GCD of 240, 289, 84, 975Calculator?

Out the numbers 240, 289, 84, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.