GCD of 126, 777, 513, 990 Calculator

Given Input numbers are 126, 777, 513, 990

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

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

GCD of numbers is the greatest common divisor

So, the GCD (126, 777, 513, 990) = 3.

Given numbers are 126, 777, 513, 990

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 777 are 3 x 7 x 37

Prime factors of 513 are 3 x 3 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 126, 777, 513, 990 is 3.

Given numbers are 126, 777, 513, 990

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

Apply this formula for all numbers.

Step1:

LCM(126, 777) = 4662

GCD(126, 777) = ( 126 x 777 ) / 4662

= 126 / 777

= 126

Step2:

LCM(21, 513) = 3591

GCD(21, 513) = ( 21 x 513 ) / 3591

= 21 / 513

= 21

Step3:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

So, Greatest Common Divisor of 126, 777, 513, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 157, 907, 170
• GCD of 675, 886, 535, 983
• GCD of 905, 686, 147, 528
• GCD of 203, 377, 846, 519
• GCD of 425, 394, 831, 280

Given numbers are 126, 777, 513, 990
The greatest common divisor of numbers 126, 777, 513, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 777, 513, 990 is 3.

1. What is the GCD of 126, 777, 513, 990?

GCD of given numbers 126, 777, 513, 990 is 3

2. How to calculate the greatest common divisor of 126, 777, 513, 990?

We can find the highest common divisor of 126, 777, 513, 990 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 126, 777, 513, 990 i.e 3.

3. How can I use the GCD of 126, 777, 513, 990Calculator?

Out the numbers 126, 777, 513, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.