GCD of 240, 390, 826, 992 Calculator

Given Input numbers are 240, 390, 826, 992

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (240, 390, 826, 992) = 2.

Given numbers are 240, 390, 826, 992

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 390 are 2 x 3 x 5 x 13

Prime factors of 826 are 2 x 7 x 59

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 240, 390, 826, 992 is 2.

Given numbers are 240, 390, 826, 992

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

Apply this formula for all numbers.

Step1:

LCM(240, 390) = 3120

GCD(240, 390) = ( 240 x 390 ) / 3120

= 240 / 390

= 240

Step2:

LCM(30, 826) = 12390

GCD(30, 826) = ( 30 x 826 ) / 12390

= 30 / 826

= 30

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 240, 390, 826, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 752, 809, 660
• GCD of 395, 827, 490, 584
• GCD of 449, 146, 792, 941
• GCD of 267, 351, 812, 222
• GCD of 292, 149, 609, 963

Given numbers are 240, 390, 826, 992
The greatest common divisor of numbers 240, 390, 826, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 390, 826, 992 is 2.

1. What is the GCD of 240, 390, 826, 992?

GCD of given numbers 240, 390, 826, 992 is 2

2. How to calculate the greatest common divisor of 240, 390, 826, 992?

We can find the highest common divisor of 240, 390, 826, 992 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, 390, 826, 992 i.e 2.

3. How can I use the GCD of 240, 390, 826, 992Calculator?

Out the numbers 240, 390, 826, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.