Where do I get the detailed procedure to find GCD of 975, 343, 705?

You can find a detailed procedure to find GCD of 975, 343, 705 on our page.

How to find GCD of 975, 343, 705 on a calculator?

You can find the GCD of 975, 343, 705 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, 343, 705 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, 343, 705 quickly. Get the easiest ways to solve the greatest common divisor of 975, 343, 705 i.e 1 in different methods as follows.

How to Find GCD of Numbers 975, 343, 705 with Factoring?

Given Input numbers are 975, 343, 705

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 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (975, 343, 705) = 1.

Find GCD of 975, 343, 705 using Prime Factorization

Given numbers are 975, 343, 705

The list of prime factors of all numbers are

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

Prime factors of 343 are 7 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

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

Steps to Calculate GCD of 975, 343, 705 using LCM Formula

Given numbers are 975, 343, 705

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

Apply this formula for all numbers.

Step1:

LCM(975, 343) = 334425

GCD(975, 343) = ( 975 x 343 ) / 334425

= 975 / 343

= 975

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 975, 343, 705 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 975, 343, 705

Given numbers are 975, 343, 705
The greatest common divisor of numbers 975, 343, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 343, 705 is 1.

FAQs on GCD of 975, 343, 705 Calculator

1. What is the GCD of 975, 343, 705?

GCD of given numbers 975, 343, 705 is 1

2. How to calculate the greatest common divisor of 975, 343, 705?

We can find the highest common divisor of 975, 343, 705 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, 343, 705 i.e 1.

3. How can I use the GCD of 975, 343, 705Calculator?

Out the numbers 975, 343, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.