GCD of 536, 812, 998, 780 Calculator

Given Input numbers are 536, 812, 998, 780

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

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

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 (536, 812, 998, 780) = 2.

Given numbers are 536, 812, 998, 780

The list of prime factors of all numbers are

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 998 are 2 x 499

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

The highest common occurrence is 2¹

Therefore, GCD of 536, 812, 998, 780 is 2.

Given numbers are 536, 812, 998, 780

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

Apply this formula for all numbers.

Step1:

LCM(536, 812) = 108808

GCD(536, 812) = ( 536 x 812 ) / 108808

= 536 / 812

= 536

Step2:

LCM(4, 998) = 1996

GCD(4, 998) = ( 4 x 998 ) / 1996

= 4 / 998

= 4

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 536, 812, 998, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 368, 745, 190
• GCD of 434, 804, 394, 215
• GCD of 496, 529, 765, 499
• GCD of 310, 919, 912, 658
• GCD of 612, 444, 232, 792

Given numbers are 536, 812, 998, 780
The greatest common divisor of numbers 536, 812, 998, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 812, 998, 780 is 2.

1. What is the GCD of 536, 812, 998, 780?

GCD of given numbers 536, 812, 998, 780 is 2

2. How to calculate the greatest common divisor of 536, 812, 998, 780?

We can find the highest common divisor of 536, 812, 998, 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 536, 812, 998, 780 i.e 2.

3. How can I use the GCD of 536, 812, 998, 780Calculator?

Out the numbers 536, 812, 998, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.