GCD of 309, 413, 957, 987 Calculator

Given Input numbers are 309, 413, 957, 987

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 957 :

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

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (309, 413, 957, 987) = 1.

Given numbers are 309, 413, 957, 987

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 413 are 7 x 59

Prime factors of 957 are 3 x 11 x 29

Prime factors of 987 are 3 x 7 x 47

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

Given numbers are 309, 413, 957, 987

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

Apply this formula for all numbers.

Step1:

LCM(309, 413) = 127617

GCD(309, 413) = ( 309 x 413 ) / 127617

= 309 / 413

= 309

Step2:

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

= 1 / 957

= 1

Step3:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

So, Greatest Common Divisor of 309, 413, 957, 987 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 959, 763, 777
• GCD of 103, 222, 820, 882
• GCD of 456, 858, 750, 118
• GCD of 671, 415, 796, 912
• GCD of 835, 871, 429, 969

Given numbers are 309, 413, 957, 987
The greatest common divisor of numbers 309, 413, 957, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 413, 957, 987 is 1.

1. What is the GCD of 309, 413, 957, 987?

GCD of given numbers 309, 413, 957, 987 is 1

2. How to calculate the greatest common divisor of 309, 413, 957, 987?

We can find the highest common divisor of 309, 413, 957, 987 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 309, 413, 957, 987 i.e 1.

3. How can I use the GCD of 309, 413, 957, 987Calculator?

Out the numbers 309, 413, 957, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.