GCD of 920, 990, 768, 490 Calculator

Given Input numbers are 920, 990, 768, 490

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (920, 990, 768, 490) = 2.

Given numbers are 920, 990, 768, 490

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 920, 990, 768, 490 is 2.

Given numbers are 920, 990, 768, 490

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

Apply this formula for all numbers.

Step1:

LCM(920, 990) = 91080

GCD(920, 990) = ( 920 x 990 ) / 91080

= 920 / 990

= 920

Step2:

LCM(10, 768) = 3840

GCD(10, 768) = ( 10 x 768 ) / 3840

= 10 / 768

= 10

Step3:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 920, 990, 768, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 307, 814, 637
• GCD of 442, 782, 562, 707
• GCD of 236, 755, 290, 262
• GCD of 502, 447, 178, 853
• GCD of 770, 747, 428, 891

Given numbers are 920, 990, 768, 490
The greatest common divisor of numbers 920, 990, 768, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 990, 768, 490 is 2.

1. What is the GCD of 920, 990, 768, 490?

GCD of given numbers 920, 990, 768, 490 is 2

2. How to calculate the greatest common divisor of 920, 990, 768, 490?

We can find the highest common divisor of 920, 990, 768, 490 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 920, 990, 768, 490 i.e 2.

3. How can I use the GCD of 920, 990, 768, 490Calculator?

Out the numbers 920, 990, 768, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.