GCD of 240, 638, 918, 820 Calculator

Given Input numbers are 240, 638, 918, 820

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (240, 638, 918, 820) = 2.

Given numbers are 240, 638, 918, 820

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 638 are 2 x 11 x 29

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 240, 638, 918, 820 is 2.

Given numbers are 240, 638, 918, 820

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

Apply this formula for all numbers.

Step1:

LCM(240, 638) = 76560

GCD(240, 638) = ( 240 x 638 ) / 76560

= 240 / 638

= 240

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 240, 638, 918, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 946, 375, 712
• GCD of 645, 764, 976, 558
• GCD of 180, 163, 352, 246
• GCD of 295, 262, 473, 752
• GCD of 710, 928, 695, 735

Given numbers are 240, 638, 918, 820
The greatest common divisor of numbers 240, 638, 918, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 638, 918, 820 is 2.

1. What is the GCD of 240, 638, 918, 820?

GCD of given numbers 240, 638, 918, 820 is 2

2. How to calculate the greatest common divisor of 240, 638, 918, 820?

We can find the highest common divisor of 240, 638, 918, 820 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, 638, 918, 820 i.e 2.

3. How can I use the GCD of 240, 638, 918, 820Calculator?

Out the numbers 240, 638, 918, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.