GCD of 117, 299, 988, 300 Calculator

Given Input numbers are 117, 299, 988, 300

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (117, 299, 988, 300) = 1.

Given numbers are 117, 299, 988, 300

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 299 are 13 x 23

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 117, 299, 988, 300

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

Apply this formula for all numbers.

Step1:

LCM(117, 299) = 2691

GCD(117, 299) = ( 117 x 299 ) / 2691

= 117 / 299

= 117

Step2:

LCM(13, 988) = 988

GCD(13, 988) = ( 13 x 988 ) / 988

= 13 / 988

= 13

Step3:

LCM(13, 300) = 3900

GCD(13, 300) = ( 13 x 300 ) / 3900

= 13 / 300

= 13

So, Greatest Common Divisor of 117, 299, 988, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 926, 364, 754
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• GCD of 918, 196, 609, 265
• GCD of 652, 378, 649, 629
• GCD of 914, 802, 944, 998

Given numbers are 117, 299, 988, 300
The greatest common divisor of numbers 117, 299, 988, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 299, 988, 300 is 1.

1. What is the GCD of 117, 299, 988, 300?

GCD of given numbers 117, 299, 988, 300 is 1

2. How to calculate the greatest common divisor of 117, 299, 988, 300?

We can find the highest common divisor of 117, 299, 988, 300 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 117, 299, 988, 300 i.e 1.

3. How can I use the GCD of 117, 299, 988, 300Calculator?

Out the numbers 117, 299, 988, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.