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GCD of 740, 500, 171 Calculator

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

Online GCD Calculator is useful to find the GCD of 740, 500, 171 quickly. Get the easiest ways to solve the greatest common divisor of 740, 500, 171 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 740, 500, 171 with Factoring?

Given Input numbers are 740, 500, 171

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171


GCD of numbers is the greatest common divisor

So, the GCD (740, 500, 171) = 1.

Find GCD of 740, 500, 171 using Prime Factorization

Given numbers are 740, 500, 171

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 171 are 3 x 3 x 19

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

Steps to Calculate GCD of 740, 500, 171 using LCM Formula

Given numbers are 740, 500, 171

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

Apply this formula for all numbers.

Step1:

LCM(740, 500) = 18500

GCD(740, 500) = ( 740 x 500 ) / 18500

= 740 / 500

= 740

Step2:

LCM(20, 171) = 3420

GCD(20, 171) = ( 20 x 171 ) / 3420

= 20 / 171

= 20


So, Greatest Common Divisor of 740, 500, 171 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 740, 500, 171

Given numbers are 740, 500, 171
The greatest common divisor of numbers 740, 500, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 500, 171 is 1.

FAQs on GCD of 740, 500, 171 Calculator

1. What is the GCD of 740, 500, 171?

GCD of given numbers 740, 500, 171 is 1

2. How to calculate the greatest common divisor of 740, 500, 171?

We can find the highest common divisor of 740, 500, 171 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 740, 500, 171 i.e 1.

3. How can I use the GCD of 740, 500, 171Calculator?

Out the numbers 740, 500, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.