GCD of 240, 987, 843, 960 Calculator

Given Input numbers are 240, 987, 843, 960

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 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (240, 987, 843, 960) = 3.

Given numbers are 240, 987, 843, 960

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 987 are 3 x 7 x 47

Prime factors of 843 are 3 x 281

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 240, 987, 843, 960 is 3.

Given numbers are 240, 987, 843, 960

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

Apply this formula for all numbers.

Step1:

LCM(240, 987) = 78960

GCD(240, 987) = ( 240 x 987 ) / 78960

= 240 / 987

= 240

Step2:

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

= 3 / 843

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 240, 987, 843, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 548, 184, 971
• GCD of 830, 266, 317, 722
• GCD of 428, 695, 436, 370
• GCD of 965, 875, 370, 128
• GCD of 544, 930, 385, 675

Given numbers are 240, 987, 843, 960
The greatest common divisor of numbers 240, 987, 843, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 987, 843, 960 is 3.

1. What is the GCD of 240, 987, 843, 960?

GCD of given numbers 240, 987, 843, 960 is 3

2. How to calculate the greatest common divisor of 240, 987, 843, 960?

We can find the highest common divisor of 240, 987, 843, 960 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, 987, 843, 960 i.e 3.

3. How can I use the GCD of 240, 987, 843, 960Calculator?

Out the numbers 240, 987, 843, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.