Where do I get the detailed procedure to find GCD of 575, 150, 745?

You can find a detailed procedure to find GCD of 575, 150, 745 on our page.

How to find GCD of 575, 150, 745 on a calculator?

You can find the GCD of 575, 150, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 575, 150, 745 Calculator

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

Online GCD Calculator is useful to find the GCD of 575, 150, 745 quickly. Get the easiest ways to solve the greatest common divisor of 575, 150, 745 i.e 5 in different methods as follows.

How to Find GCD of Numbers 575, 150, 745 with Factoring?

Given Input numbers are 575, 150, 745

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

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (575, 150, 745) = 5.

Find GCD of 575, 150, 745 using Prime Factorization

Given numbers are 575, 150, 745

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 745 are 5 x 149

The highest common occurrence is 5¹

Therefore, GCD of 575, 150, 745 is 5.

Steps to Calculate GCD of 575, 150, 745 using LCM Formula

Given numbers are 575, 150, 745

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

Apply this formula for all numbers.

Step1:

LCM(575, 150) = 3450

GCD(575, 150) = ( 575 x 150 ) / 3450

= 575 / 150

= 575

Step2:

LCM(25, 745) = 3725

GCD(25, 745) = ( 25 x 745 ) / 3725

= 25 / 745

= 25

So, Greatest Common Divisor of 575, 150, 745 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 575, 150, 745

Given numbers are 575, 150, 745
The greatest common divisor of numbers 575, 150, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 150, 745 is 5.

FAQs on GCD of 575, 150, 745 Calculator

1. What is the GCD of 575, 150, 745?

GCD of given numbers 575, 150, 745 is 5

2. How to calculate the greatest common divisor of 575, 150, 745?

We can find the highest common divisor of 575, 150, 745 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 575, 150, 745 i.e 5.

3. How can I use the GCD of 575, 150, 745Calculator?

Out the numbers 575, 150, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.