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GCD of 780, 450, 732, 608 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 780, 450, 732, 608 quickly. Get the easiest ways to solve the greatest common divisor of 780, 450, 732, 608 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 450, 732, 608 with Factoring?

Given Input numbers are 780, 450, 732, 608

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608


GCD of numbers is the greatest common divisor

So, the GCD (780, 450, 732, 608) = 2.

Find GCD of 780, 450, 732, 608 using Prime Factorization

Given numbers are 780, 450, 732, 608

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 732 are 2 x 2 x 3 x 61

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

The highest common occurrence is 21

Therefore, GCD of 780, 450, 732, 608 is 2.

Steps to Calculate GCD of 780, 450, 732, 608 using LCM Formula

Given numbers are 780, 450, 732, 608

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, 732) = 3660

GCD(30, 732) = ( 30 x 732 ) / 3660

= 30 / 732

= 30


Step3:

LCM(6, 608) = 1824

GCD(6, 608) = ( 6 x 608 ) / 1824

= 6 / 608

= 6


So, Greatest Common Divisor of 780, 450, 732, 608 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 450, 732, 608

Given numbers are 780, 450, 732, 608
The greatest common divisor of numbers 780, 450, 732, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 450, 732, 608 is 2.

FAQs on GCD of 780, 450, 732, 608 Calculator

1. What is the GCD of 780, 450, 732, 608?

GCD of given numbers 780, 450, 732, 608 is 2


2. How to calculate the greatest common divisor of 780, 450, 732, 608?

We can find the highest common divisor of 780, 450, 732, 608 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, 732, 608 i.e 2.


3. How can I use the GCD of 780, 450, 732, 608Calculator?

Out the numbers 780, 450, 732, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.