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GCD of 477, 759, 614, 800 Calculator

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


Online GCD Calculator is useful to find the GCD of 477, 759, 614, 800 quickly. Get the easiest ways to solve the greatest common divisor of 477, 759, 614, 800 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 477, 759, 614, 800 with Factoring?

Given Input numbers are 477, 759, 614, 800

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800


GCD of numbers is the greatest common divisor

So, the GCD (477, 759, 614, 800) = 1.

Find GCD of 477, 759, 614, 800 using Prime Factorization

Given numbers are 477, 759, 614, 800

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 759 are 3 x 11 x 23

Prime factors of 614 are 2 x 307

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Steps to Calculate GCD of 477, 759, 614, 800 using LCM Formula

Given numbers are 477, 759, 614, 800

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

Apply this formula for all numbers.

Step1:

LCM(477, 759) = 120681

GCD(477, 759) = ( 477 x 759 ) / 120681

= 477 / 759

= 477


Step2:

LCM(3, 614) = 1842

GCD(3, 614) = ( 3 x 614 ) / 1842

= 3 / 614

= 3


Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1


So, Greatest Common Divisor of 477, 759, 614, 800 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 477, 759, 614, 800

Given numbers are 477, 759, 614, 800
The greatest common divisor of numbers 477, 759, 614, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 759, 614, 800 is 1.

FAQs on GCD of 477, 759, 614, 800 Calculator

1. What is the GCD of 477, 759, 614, 800?

GCD of given numbers 477, 759, 614, 800 is 1


2. How to calculate the greatest common divisor of 477, 759, 614, 800?

We can find the highest common divisor of 477, 759, 614, 800 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 477, 759, 614, 800 i.e 1.


3. How can I use the GCD of 477, 759, 614, 800Calculator?

Out the numbers 477, 759, 614, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.