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GCD of 804, 820, 749, 780 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 820, 749, 780 quickly. Get the easiest ways to solve the greatest common divisor of 804, 820, 749, 780 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 820, 749, 780 with Factoring?

Given Input numbers are 804, 820, 749, 780

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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


GCD of numbers is the greatest common divisor

So, the GCD (804, 820, 749, 780) = 1.

Find GCD of 804, 820, 749, 780 using Prime Factorization

Given numbers are 804, 820, 749, 780

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 749 are 7 x 107

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 804, 820, 749, 780 using LCM Formula

Given numbers are 804, 820, 749, 780

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

Apply this formula for all numbers.

Step1:

LCM(804, 820) = 164820

GCD(804, 820) = ( 804 x 820 ) / 164820

= 804 / 820

= 804


Step2:

LCM(4, 749) = 2996

GCD(4, 749) = ( 4 x 749 ) / 2996

= 4 / 749

= 4


Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1


So, Greatest Common Divisor of 804, 820, 749, 780 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 820, 749, 780

Given numbers are 804, 820, 749, 780
The greatest common divisor of numbers 804, 820, 749, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 820, 749, 780 is 1.

FAQs on GCD of 804, 820, 749, 780 Calculator

1. What is the GCD of 804, 820, 749, 780?

GCD of given numbers 804, 820, 749, 780 is 1


2. How to calculate the greatest common divisor of 804, 820, 749, 780?

We can find the highest common divisor of 804, 820, 749, 780 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 804, 820, 749, 780 i.e 1.


3. How can I use the GCD of 804, 820, 749, 780Calculator?

Out the numbers 804, 820, 749, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.