GCD of 290, 710, 687, 990 Calculator

Given Input numbers are 290, 710, 687, 990

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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

GCD of numbers is the greatest common divisor

So, the GCD (290, 710, 687, 990) = 1.

Given numbers are 290, 710, 687, 990

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 710 are 2 x 5 x 71

Prime factors of 687 are 3 x 229

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

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

Given numbers are 290, 710, 687, 990

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

Apply this formula for all numbers.

Step1:

LCM(290, 710) = 20590

GCD(290, 710) = ( 290 x 710 ) / 20590

= 290 / 710

= 290

Step2:

LCM(10, 687) = 6870

GCD(10, 687) = ( 10 x 687 ) / 6870

= 10 / 687

= 10

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 290, 710, 687, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 191, 192, 158
• GCD of 862, 988, 547, 855
• GCD of 615, 471, 817, 727
• GCD of 337, 109, 329, 641
• GCD of 163, 966, 467, 551

Given numbers are 290, 710, 687, 990
The greatest common divisor of numbers 290, 710, 687, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 710, 687, 990 is 1.

1. What is the GCD of 290, 710, 687, 990?

GCD of given numbers 290, 710, 687, 990 is 1

2. How to calculate the greatest common divisor of 290, 710, 687, 990?

We can find the highest common divisor of 290, 710, 687, 990 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 290, 710, 687, 990 i.e 1.

3. How can I use the GCD of 290, 710, 687, 990Calculator?

Out the numbers 290, 710, 687, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.