GCD of 780, 378, 990, 558 Calculator

Given Input numbers are 780, 378, 990, 558

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (780, 378, 990, 558) = 6.

Given numbers are 780, 378, 990, 558

The list of prime factors of all numbers are

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

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 780, 378, 990, 558 is 6.

Given numbers are 780, 378, 990, 558

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

Apply this formula for all numbers.

Step1:

LCM(780, 378) = 49140

GCD(780, 378) = ( 780 x 378 ) / 49140

= 780 / 378

= 780

Step2:

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

= 6 / 990

= 6

Step3:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

So, Greatest Common Divisor of 780, 378, 990, 558 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 288, 827, 507
• GCD of 247, 267, 552, 183
• GCD of 300, 668, 850, 143
• GCD of 677, 408, 289, 777
• GCD of 705, 556, 468, 175

Given numbers are 780, 378, 990, 558
The greatest common divisor of numbers 780, 378, 990, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 378, 990, 558 is 6.

1. What is the GCD of 780, 378, 990, 558?

GCD of given numbers 780, 378, 990, 558 is 6

2. How to calculate the greatest common divisor of 780, 378, 990, 558?

We can find the highest common divisor of 780, 378, 990, 558 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 780, 378, 990, 558 i.e 6.

3. How can I use the GCD of 780, 378, 990, 558Calculator?

Out the numbers 780, 378, 990, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.