Where do I get the detailed procedure to find GCD of 975, 705, 755?

You can find a detailed procedure to find GCD of 975, 705, 755 on our page.

How to find GCD of 975, 705, 755 on a calculator?

You can find the GCD of 975, 705, 755 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 975, 705, 755 Calculator

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

Online GCD Calculator is useful to find the GCD of 975, 705, 755 quickly. Get the easiest ways to solve the greatest common divisor of 975, 705, 755 i.e 5 in different methods as follows.

How to Find GCD of Numbers 975, 705, 755 with Factoring?

Given Input numbers are 975, 705, 755

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (975, 705, 755) = 5.

Find GCD of 975, 705, 755 using Prime Factorization

Given numbers are 975, 705, 755

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 705 are 3 x 5 x 47

Prime factors of 755 are 5 x 151

The highest common occurrence is 5¹

Therefore, GCD of 975, 705, 755 is 5.

Steps to Calculate GCD of 975, 705, 755 using LCM Formula

Given numbers are 975, 705, 755

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

Apply this formula for all numbers.

Step1:

LCM(975, 705) = 45825

GCD(975, 705) = ( 975 x 705 ) / 45825

= 975 / 705

= 975

Step2:

LCM(15, 755) = 2265

GCD(15, 755) = ( 15 x 755 ) / 2265

= 15 / 755

= 15

So, Greatest Common Divisor of 975, 705, 755 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 975, 705, 755

Given numbers are 975, 705, 755
The greatest common divisor of numbers 975, 705, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 705, 755 is 5.

FAQs on GCD of 975, 705, 755 Calculator

1. What is the GCD of 975, 705, 755?

GCD of given numbers 975, 705, 755 is 5

2. How to calculate the greatest common divisor of 975, 705, 755?

We can find the highest common divisor of 975, 705, 755 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 975, 705, 755 i.e 5.

3. How can I use the GCD of 975, 705, 755Calculator?

Out the numbers 975, 705, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.