GCD of 990, 494, 268, 971 Calculator

Given Input numbers are 990, 494, 268, 971

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (990, 494, 268, 971) = 1.

Given numbers are 990, 494, 268, 971

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 494 are 2 x 13 x 19

Prime factors of 268 are 2 x 2 x 67

Prime factors of 971 are 971

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

Given numbers are 990, 494, 268, 971

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

Apply this formula for all numbers.

Step1:

LCM(990, 494) = 244530

GCD(990, 494) = ( 990 x 494 ) / 244530

= 990 / 494

= 990

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 990, 494, 268, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 126, 807, 630
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• GCD of 105, 453, 397, 386
• GCD of 211, 787, 747, 798
• GCD of 660, 144, 105, 438

Given numbers are 990, 494, 268, 971
The greatest common divisor of numbers 990, 494, 268, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 494, 268, 971 is 1.

1. What is the GCD of 990, 494, 268, 971?

GCD of given numbers 990, 494, 268, 971 is 1

2. How to calculate the greatest common divisor of 990, 494, 268, 971?

We can find the highest common divisor of 990, 494, 268, 971 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, 494, 268, 971 i.e 1.

3. How can I use the GCD of 990, 494, 268, 971Calculator?

Out the numbers 990, 494, 268, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.