GCD of 209, 456, 988, 957 Calculator

Given Input numbers are 209, 456, 988, 957

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

GCD of numbers is the greatest common divisor

So, the GCD (209, 456, 988, 957) = 1.

Given numbers are 209, 456, 988, 957

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 957 are 3 x 11 x 29

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

Given numbers are 209, 456, 988, 957

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

Apply this formula for all numbers.

Step1:

LCM(209, 456) = 5016

GCD(209, 456) = ( 209 x 456 ) / 5016

= 209 / 456

= 209

Step2:

LCM(19, 988) = 988

GCD(19, 988) = ( 19 x 988 ) / 988

= 19 / 988

= 19

Step3:

LCM(19, 957) = 18183

GCD(19, 957) = ( 19 x 957 ) / 18183

= 19 / 957

= 19

So, Greatest Common Divisor of 209, 456, 988, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 374, 313, 559
• GCD of 136, 266, 506, 694
• GCD of 826, 446, 732, 157
• GCD of 299, 382, 206, 982
• GCD of 399, 685, 576, 928

Given numbers are 209, 456, 988, 957
The greatest common divisor of numbers 209, 456, 988, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 456, 988, 957 is 1.

1. What is the GCD of 209, 456, 988, 957?

GCD of given numbers 209, 456, 988, 957 is 1

2. How to calculate the greatest common divisor of 209, 456, 988, 957?

We can find the highest common divisor of 209, 456, 988, 957 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, 456, 988, 957 i.e 1.

3. How can I use the GCD of 209, 456, 988, 957Calculator?

Out the numbers 209, 456, 988, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.