GCD of 798, 648, 969, 180 Calculator

Given Input numbers are 798, 648, 969, 180

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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

GCD of numbers is the greatest common divisor

So, the GCD (798, 648, 969, 180) = 3.

Given numbers are 798, 648, 969, 180

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 969 are 3 x 17 x 19

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 798, 648, 969, 180 is 3.

Given numbers are 798, 648, 969, 180

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

Apply this formula for all numbers.

Step1:

LCM(798, 648) = 86184

GCD(798, 648) = ( 798 x 648 ) / 86184

= 798 / 648

= 798

Step2:

LCM(6, 969) = 1938

GCD(6, 969) = ( 6 x 969 ) / 1938

= 6 / 969

= 6

Step3:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 798, 648, 969, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 841, 903, 453
• GCD of 594, 706, 507, 317
• GCD of 660, 292, 574, 799
• GCD of 410, 932, 467, 633
• GCD of 877, 243, 948, 443

Given numbers are 798, 648, 969, 180
The greatest common divisor of numbers 798, 648, 969, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 648, 969, 180 is 3.

1. What is the GCD of 798, 648, 969, 180?

GCD of given numbers 798, 648, 969, 180 is 3

2. How to calculate the greatest common divisor of 798, 648, 969, 180?

We can find the highest common divisor of 798, 648, 969, 180 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 798, 648, 969, 180 i.e 3.

3. How can I use the GCD of 798, 648, 969, 180Calculator?

Out the numbers 798, 648, 969, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.