GCD of 116, 189, 175, 496 Calculator

Given Input numbers are 116, 189, 175, 496

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (116, 189, 175, 496) = 1.

Given numbers are 116, 189, 175, 496

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 175 are 5 x 5 x 7

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 116, 189, 175, 496

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

Apply this formula for all numbers.

Step1:

LCM(116, 189) = 21924

GCD(116, 189) = ( 116 x 189 ) / 21924

= 116 / 189

= 116

Step2:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 116, 189, 175, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 135, 924, 566
• GCD of 463, 629, 587, 918
• GCD of 663, 339, 757, 844
• GCD of 335, 637, 691, 468
• GCD of 428, 334, 872, 333

Given numbers are 116, 189, 175, 496
The greatest common divisor of numbers 116, 189, 175, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 189, 175, 496 is 1.

1. What is the GCD of 116, 189, 175, 496?

GCD of given numbers 116, 189, 175, 496 is 1

2. How to calculate the greatest common divisor of 116, 189, 175, 496?

We can find the highest common divisor of 116, 189, 175, 496 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 116, 189, 175, 496 i.e 1.

3. How can I use the GCD of 116, 189, 175, 496Calculator?

Out the numbers 116, 189, 175, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.