GCD of 205, 240, 865, 940 Calculator

Given Input numbers are 205, 240, 865, 940

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (205, 240, 865, 940) = 5.

Given numbers are 205, 240, 865, 940

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

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

Prime factors of 865 are 5 x 173

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 205, 240, 865, 940 is 5.

Given numbers are 205, 240, 865, 940

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

Apply this formula for all numbers.

Step1:

LCM(205, 240) = 9840

GCD(205, 240) = ( 205 x 240 ) / 9840

= 205 / 240

= 205

Step2:

LCM(5, 865) = 865

GCD(5, 865) = ( 5 x 865 ) / 865

= 5 / 865

= 5

Step3:

LCM(5, 940) = 940

GCD(5, 940) = ( 5 x 940 ) / 940

= 5 / 940

= 5

So, Greatest Common Divisor of 205, 240, 865, 940 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 666, 905, 990
• GCD of 270, 894, 963, 998
• GCD of 557, 321, 360, 204
• GCD of 370, 250, 819, 161
• GCD of 753, 671, 772, 715

Given numbers are 205, 240, 865, 940
The greatest common divisor of numbers 205, 240, 865, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 240, 865, 940 is 5.

1. What is the GCD of 205, 240, 865, 940?

GCD of given numbers 205, 240, 865, 940 is 5

2. How to calculate the greatest common divisor of 205, 240, 865, 940?

We can find the highest common divisor of 205, 240, 865, 940 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 205, 240, 865, 940 i.e 5.

3. How can I use the GCD of 205, 240, 865, 940Calculator?

Out the numbers 205, 240, 865, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.