GCD of 990, 160, 523, 292 Calculator

Given Input numbers are 990, 160, 523, 292

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

GCD of numbers is the greatest common divisor

So, the GCD (990, 160, 523, 292) = 1.

Given numbers are 990, 160, 523, 292

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 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 523 are 523

Prime factors of 292 are 2 x 2 x 73

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

Given numbers are 990, 160, 523, 292

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

Apply this formula for all numbers.

Step1:

LCM(990, 160) = 15840

GCD(990, 160) = ( 990 x 160 ) / 15840

= 990 / 160

= 990

Step2:

LCM(10, 523) = 5230

GCD(10, 523) = ( 10 x 523 ) / 5230

= 10 / 523

= 10

Step3:

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

= 1 / 292

= 1

So, Greatest Common Divisor of 990, 160, 523, 292 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 687, 195, 628
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• GCD of 212, 134, 561, 736
• GCD of 350, 812, 644, 341
• GCD of 644, 588, 924, 839

Given numbers are 990, 160, 523, 292
The greatest common divisor of numbers 990, 160, 523, 292 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 160, 523, 292 is 1.

1. What is the GCD of 990, 160, 523, 292?

GCD of given numbers 990, 160, 523, 292 is 1

2. How to calculate the greatest common divisor of 990, 160, 523, 292?

We can find the highest common divisor of 990, 160, 523, 292 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, 160, 523, 292 i.e 1.

3. How can I use the GCD of 990, 160, 523, 292Calculator?

Out the numbers 990, 160, 523, 292 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.