GCD of 209, 290, 132, 971 Calculator

Given Input numbers are 209, 290, 132, 971

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 290 :

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

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 (209, 290, 132, 971) = 1.

Given numbers are 209, 290, 132, 971

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 290 are 2 x 5 x 29

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 971 are 971

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

Given numbers are 209, 290, 132, 971

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

Apply this formula for all numbers.

Step1:

LCM(209, 290) = 60610

GCD(209, 290) = ( 209 x 290 ) / 60610

= 209 / 290

= 209

Step2:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

Step3:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

So, Greatest Common Divisor of 209, 290, 132, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 575, 280, 430
• GCD of 107, 276, 345, 865
• GCD of 707, 530, 160, 670
• GCD of 436, 767, 660, 723
• GCD of 865, 560, 582, 188

Given numbers are 209, 290, 132, 971
The greatest common divisor of numbers 209, 290, 132, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 290, 132, 971 is 1.

1. What is the GCD of 209, 290, 132, 971?

GCD of given numbers 209, 290, 132, 971 is 1

2. How to calculate the greatest common divisor of 209, 290, 132, 971?

We can find the highest common divisor of 209, 290, 132, 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 209, 290, 132, 971 i.e 1.

3. How can I use the GCD of 209, 290, 132, 971Calculator?

Out the numbers 209, 290, 132, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.