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GCD of 800, 510, 175, 348 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, 510, 175, 348 quickly. Get the easiest ways to solve the greatest common divisor of 800, 510, 175, 348 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 510, 175, 348 with Factoring?

Given Input numbers are 800, 510, 175, 348

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348


GCD of numbers is the greatest common divisor

So, the GCD (800, 510, 175, 348) = 1.

Find GCD of 800, 510, 175, 348 using Prime Factorization

Given numbers are 800, 510, 175, 348

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 510 are 2 x 3 x 5 x 17

Prime factors of 175 are 5 x 5 x 7

Prime factors of 348 are 2 x 2 x 3 x 29

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

Steps to Calculate GCD of 800, 510, 175, 348 using LCM Formula

Given numbers are 800, 510, 175, 348

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

Apply this formula for all numbers.

Step1:

LCM(800, 510) = 40800

GCD(800, 510) = ( 800 x 510 ) / 40800

= 800 / 510

= 800


Step2:

LCM(10, 175) = 350

GCD(10, 175) = ( 10 x 175 ) / 350

= 10 / 175

= 10


Step3:

LCM(5, 348) = 1740

GCD(5, 348) = ( 5 x 348 ) / 1740

= 5 / 348

= 5


So, Greatest Common Divisor of 800, 510, 175, 348 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 510, 175, 348

Given numbers are 800, 510, 175, 348
The greatest common divisor of numbers 800, 510, 175, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 510, 175, 348 is 1.

FAQs on GCD of 800, 510, 175, 348 Calculator

1. What is the GCD of 800, 510, 175, 348?

GCD of given numbers 800, 510, 175, 348 is 1


2. How to calculate the greatest common divisor of 800, 510, 175, 348?

We can find the highest common divisor of 800, 510, 175, 348 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, 510, 175, 348 i.e 1.


3. How can I use the GCD of 800, 510, 175, 348Calculator?

Out the numbers 800, 510, 175, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.