GCD of 240, 758, 220, 264 Calculator

Given Input numbers are 240, 758, 220, 264

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 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (240, 758, 220, 264) = 2.

Given numbers are 240, 758, 220, 264

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 758 are 2 x 379

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 240, 758, 220, 264 is 2.

Given numbers are 240, 758, 220, 264

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

Apply this formula for all numbers.

Step1:

LCM(240, 758) = 90960

GCD(240, 758) = ( 240 x 758 ) / 90960

= 240 / 758

= 240

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 240, 758, 220, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 643, 355, 555
• GCD of 402, 664, 280, 997
• GCD of 912, 702, 219, 905
• GCD of 179, 839, 467, 707
• GCD of 211, 117, 649, 416

Given numbers are 240, 758, 220, 264
The greatest common divisor of numbers 240, 758, 220, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 758, 220, 264 is 2.

1. What is the GCD of 240, 758, 220, 264?

GCD of given numbers 240, 758, 220, 264 is 2

2. How to calculate the greatest common divisor of 240, 758, 220, 264?

We can find the highest common divisor of 240, 758, 220, 264 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, 758, 220, 264 i.e 2.

3. How can I use the GCD of 240, 758, 220, 264Calculator?

Out the numbers 240, 758, 220, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.