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GCD of 800, 739, 374, 550 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 739, 374, 550 quickly. Get the easiest ways to solve the greatest common divisor of 800, 739, 374, 550 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 739, 374, 550 with Factoring?

Given Input numbers are 800, 739, 374, 550

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

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

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

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


GCD of numbers is the greatest common divisor

So, the GCD (800, 739, 374, 550) = 1.

Find GCD of 800, 739, 374, 550 using Prime Factorization

Given numbers are 800, 739, 374, 550

The list of prime factors of all numbers are

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

Prime factors of 739 are 739

Prime factors of 374 are 2 x 11 x 17

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

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

Steps to Calculate GCD of 800, 739, 374, 550 using LCM Formula

Given numbers are 800, 739, 374, 550

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

Apply this formula for all numbers.

Step1:

LCM(800, 739) = 591200

GCD(800, 739) = ( 800 x 739 ) / 591200

= 800 / 739

= 800


Step2:

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

= 1 / 374

= 1


Step3:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1


So, Greatest Common Divisor of 800, 739, 374, 550 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 739, 374, 550

Given numbers are 800, 739, 374, 550
The greatest common divisor of numbers 800, 739, 374, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 739, 374, 550 is 1.

FAQs on GCD of 800, 739, 374, 550 Calculator

1. What is the GCD of 800, 739, 374, 550?

GCD of given numbers 800, 739, 374, 550 is 1


2. How to calculate the greatest common divisor of 800, 739, 374, 550?

We can find the highest common divisor of 800, 739, 374, 550 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 800, 739, 374, 550 i.e 1.


3. How can I use the GCD of 800, 739, 374, 550Calculator?

Out the numbers 800, 739, 374, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.