GCD of 550, 966, 432, 782 Calculator

Given Input numbers are 550, 966, 432, 782

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (550, 966, 432, 782) = 2.

Given numbers are 550, 966, 432, 782

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 550, 966, 432, 782 is 2.

Given numbers are 550, 966, 432, 782

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

Apply this formula for all numbers.

Step1:

LCM(550, 966) = 265650

GCD(550, 966) = ( 550 x 966 ) / 265650

= 550 / 966

= 550

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 550, 966, 432, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 686, 159, 576
• GCD of 933, 722, 983, 496
• GCD of 807, 579, 136, 685
• GCD of 876, 901, 820, 662
• GCD of 660, 615, 749, 351

Given numbers are 550, 966, 432, 782
The greatest common divisor of numbers 550, 966, 432, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 966, 432, 782 is 2.

1. What is the GCD of 550, 966, 432, 782?

GCD of given numbers 550, 966, 432, 782 is 2

2. How to calculate the greatest common divisor of 550, 966, 432, 782?

We can find the highest common divisor of 550, 966, 432, 782 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 550, 966, 432, 782 i.e 2.

3. How can I use the GCD of 550, 966, 432, 782Calculator?

Out the numbers 550, 966, 432, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.