GCD of 180, 848, 814, 989 Calculator

Given Input numbers are 180, 848, 814, 989

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 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

GCD of numbers is the greatest common divisor

So, the GCD (180, 848, 814, 989) = 1.

Given numbers are 180, 848, 814, 989

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 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 814 are 2 x 11 x 37

Prime factors of 989 are 23 x 43

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

Given numbers are 180, 848, 814, 989

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

Apply this formula for all numbers.

Step1:

LCM(180, 848) = 38160

GCD(180, 848) = ( 180 x 848 ) / 38160

= 180 / 848

= 180

Step2:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4

Step3:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

So, Greatest Common Divisor of 180, 848, 814, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 694, 660, 623
• GCD of 701, 945, 587, 111
• GCD of 356, 432, 182, 558
• GCD of 153, 518, 434, 274
• GCD of 870, 816, 888, 916

Given numbers are 180, 848, 814, 989
The greatest common divisor of numbers 180, 848, 814, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 848, 814, 989 is 1.

1. What is the GCD of 180, 848, 814, 989?

GCD of given numbers 180, 848, 814, 989 is 1

2. How to calculate the greatest common divisor of 180, 848, 814, 989?

We can find the highest common divisor of 180, 848, 814, 989 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, 848, 814, 989 i.e 1.

3. How can I use the GCD of 180, 848, 814, 989Calculator?

Out the numbers 180, 848, 814, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.