GCD of 780, 450, 966, 618 Calculator

Given Input numbers are 780, 450, 966, 618

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 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

GCD of numbers is the greatest common divisor

So, the GCD (780, 450, 966, 618) = 6.

Given numbers are 780, 450, 966, 618

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 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 618 are 2 x 3 x 103

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 780, 450, 966, 618 is 6.

Given numbers are 780, 450, 966, 618

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

Apply this formula for all numbers.

Step1:

LCM(780, 450) = 11700

GCD(780, 450) = ( 780 x 450 ) / 11700

= 780 / 450

= 780

Step2:

LCM(30, 966) = 4830

GCD(30, 966) = ( 30 x 966 ) / 4830

= 30 / 966

= 30

Step3:

LCM(6, 618) = 618

GCD(6, 618) = ( 6 x 618 ) / 618

= 6 / 618

= 6

So, Greatest Common Divisor of 780, 450, 966, 618 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 979, 754, 464
• GCD of 105, 808, 544, 249
• GCD of 471, 340, 202, 307
• GCD of 324, 252, 882, 322
• GCD of 590, 715, 290, 873

Given numbers are 780, 450, 966, 618
The greatest common divisor of numbers 780, 450, 966, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 450, 966, 618 is 6.

1. What is the GCD of 780, 450, 966, 618?

GCD of given numbers 780, 450, 966, 618 is 6

2. How to calculate the greatest common divisor of 780, 450, 966, 618?

We can find the highest common divisor of 780, 450, 966, 618 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, 450, 966, 618 i.e 6.

3. How can I use the GCD of 780, 450, 966, 618Calculator?

Out the numbers 780, 450, 966, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.