GCD of 290, 961, 990, 407 Calculator

Given Input numbers are 290, 961, 990, 407

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

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 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (290, 961, 990, 407) = 1.

Given numbers are 290, 961, 990, 407

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 961 are 31 x 31

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

Prime factors of 407 are 11 x 37

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

Given numbers are 290, 961, 990, 407

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

Apply this formula for all numbers.

Step1:

LCM(290, 961) = 278690

GCD(290, 961) = ( 290 x 961 ) / 278690

= 290 / 961

= 290

Step2:

LCM(1, 990) = 990

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

= 1 / 990

= 1

Step3:

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

= 1 / 407

= 1

So, Greatest Common Divisor of 290, 961, 990, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 109, 647, 492
• GCD of 190, 854, 618, 812
• GCD of 334, 704, 649, 152
• GCD of 516, 630, 150, 324
• GCD of 658, 420, 445, 161

Given numbers are 290, 961, 990, 407
The greatest common divisor of numbers 290, 961, 990, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 961, 990, 407 is 1.

1. What is the GCD of 290, 961, 990, 407?

GCD of given numbers 290, 961, 990, 407 is 1

2. How to calculate the greatest common divisor of 290, 961, 990, 407?

We can find the highest common divisor of 290, 961, 990, 407 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, 961, 990, 407 i.e 1.

3. How can I use the GCD of 290, 961, 990, 407Calculator?

Out the numbers 290, 961, 990, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.