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GCD of 375, 710, 200, 514 Calculator

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


Online GCD Calculator is useful to find the GCD of 375, 710, 200, 514 quickly. Get the easiest ways to solve the greatest common divisor of 375, 710, 200, 514 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 375, 710, 200, 514 with Factoring?

Given Input numbers are 375, 710, 200, 514

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514


GCD of numbers is the greatest common divisor

So, the GCD (375, 710, 200, 514) = 1.

Find GCD of 375, 710, 200, 514 using Prime Factorization

Given numbers are 375, 710, 200, 514

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 710 are 2 x 5 x 71

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 514 are 2 x 257

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

Steps to Calculate GCD of 375, 710, 200, 514 using LCM Formula

Given numbers are 375, 710, 200, 514

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

Apply this formula for all numbers.

Step1:

LCM(375, 710) = 53250

GCD(375, 710) = ( 375 x 710 ) / 53250

= 375 / 710

= 375


Step2:

LCM(5, 200) = 200

GCD(5, 200) = ( 5 x 200 ) / 200

= 5 / 200

= 5


Step3:

LCM(5, 514) = 2570

GCD(5, 514) = ( 5 x 514 ) / 2570

= 5 / 514

= 5


So, Greatest Common Divisor of 375, 710, 200, 514 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 375, 710, 200, 514

Given numbers are 375, 710, 200, 514
The greatest common divisor of numbers 375, 710, 200, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 710, 200, 514 is 1.

FAQs on GCD of 375, 710, 200, 514 Calculator

1. What is the GCD of 375, 710, 200, 514?

GCD of given numbers 375, 710, 200, 514 is 1


2. How to calculate the greatest common divisor of 375, 710, 200, 514?

We can find the highest common divisor of 375, 710, 200, 514 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 375, 710, 200, 514 i.e 1.


3. How can I use the GCD of 375, 710, 200, 514Calculator?

Out the numbers 375, 710, 200, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.