GCD of 180, 307, 698, 116 Calculator

Given Input numbers are 180, 307, 698, 116

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (180, 307, 698, 116) = 1.

Given numbers are 180, 307, 698, 116

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 307 are 307

Prime factors of 698 are 2 x 349

Prime factors of 116 are 2 x 2 x 29

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

Given numbers are 180, 307, 698, 116

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

Apply this formula for all numbers.

Step1:

LCM(180, 307) = 55260

GCD(180, 307) = ( 180 x 307 ) / 55260

= 180 / 307

= 180

Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

Step3:

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

= 1 / 116

= 1

So, Greatest Common Divisor of 180, 307, 698, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 421, 912, 155
• GCD of 989, 892, 835, 202
• GCD of 696, 639, 169, 431
• GCD of 112, 551, 186, 545
• GCD of 914, 161, 643, 351

Given numbers are 180, 307, 698, 116
The greatest common divisor of numbers 180, 307, 698, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 307, 698, 116 is 1.

1. What is the GCD of 180, 307, 698, 116?

GCD of given numbers 180, 307, 698, 116 is 1

2. How to calculate the greatest common divisor of 180, 307, 698, 116?

We can find the highest common divisor of 180, 307, 698, 116 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 180, 307, 698, 116 i.e 1.

3. How can I use the GCD of 180, 307, 698, 116Calculator?

Out the numbers 180, 307, 698, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.