GCD of 180, 228, 988, 780 Calculator

Given Input numbers are 180, 228, 988, 780

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (180, 228, 988, 780) = 4.

Given numbers are 180, 228, 988, 780

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 228 are 2 x 2 x 3 x 19

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 2²

Therefore, GCD of 180, 228, 988, 780 is 4.

Given numbers are 180, 228, 988, 780

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

Apply this formula for all numbers.

Step1:

LCM(180, 228) = 3420

GCD(180, 228) = ( 180 x 228 ) / 3420

= 180 / 228

= 180

Step2:

LCM(12, 988) = 2964

GCD(12, 988) = ( 12 x 988 ) / 2964

= 12 / 988

= 12

Step3:

LCM(4, 780) = 780

GCD(4, 780) = ( 4 x 780 ) / 780

= 4 / 780

= 4

So, Greatest Common Divisor of 180, 228, 988, 780 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 430, 807, 431
• GCD of 249, 608, 741, 846
• GCD of 416, 474, 494, 817
• GCD of 416, 447, 958, 105
• GCD of 502, 359, 194, 877

Given numbers are 180, 228, 988, 780
The greatest common divisor of numbers 180, 228, 988, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 228, 988, 780 is 4.

1. What is the GCD of 180, 228, 988, 780?

GCD of given numbers 180, 228, 988, 780 is 4

2. How to calculate the greatest common divisor of 180, 228, 988, 780?

We can find the highest common divisor of 180, 228, 988, 780 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, 228, 988, 780 i.e 4.

3. How can I use the GCD of 180, 228, 988, 780Calculator?

Out the numbers 180, 228, 988, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.