GCD of 990, 784, 221, 740 Calculator

Given Input numbers are 990, 784, 221, 740

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

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (990, 784, 221, 740) = 1.

Given numbers are 990, 784, 221, 740

The list of prime factors of all numbers are

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 221 are 13 x 17

Prime factors of 740 are 2 x 2 x 5 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 990, 784, 221, 740

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

Apply this formula for all numbers.

Step1:

LCM(990, 784) = 388080

GCD(990, 784) = ( 990 x 784 ) / 388080

= 990 / 784

= 990

Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

Step3:

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

= 1 / 740

= 1

So, Greatest Common Divisor of 990, 784, 221, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 825, 135, 538
• GCD of 732, 875, 693, 789
• GCD of 154, 849, 119, 222
• GCD of 826, 578, 105, 886
• GCD of 952, 547, 929, 133

Given numbers are 990, 784, 221, 740
The greatest common divisor of numbers 990, 784, 221, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 784, 221, 740 is 1.

1. What is the GCD of 990, 784, 221, 740?

GCD of given numbers 990, 784, 221, 740 is 1

2. How to calculate the greatest common divisor of 990, 784, 221, 740?

We can find the highest common divisor of 990, 784, 221, 740 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 990, 784, 221, 740 i.e 1.

3. How can I use the GCD of 990, 784, 221, 740Calculator?

Out the numbers 990, 784, 221, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.