Where do I get the detailed procedure to find GCD of 745, 505, 981?

You can find a detailed procedure to find GCD of 745, 505, 981 on our page.

How to find GCD of 745, 505, 981 on a calculator?

You can find the GCD of 745, 505, 981 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 745, 505, 981 Calculator

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

Online GCD Calculator is useful to find the GCD of 745, 505, 981 quickly. Get the easiest ways to solve the greatest common divisor of 745, 505, 981 i.e 1 in different methods as follows.

How to Find GCD of Numbers 745, 505, 981 with Factoring?

Given Input numbers are 745, 505, 981

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

Divisors of 745 :

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

1, 5, 149, 745

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (745, 505, 981) = 1.

Find GCD of 745, 505, 981 using Prime Factorization

Given numbers are 745, 505, 981

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 505 are 5 x 101

Prime factors of 981 are 3 x 3 x 109

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

Steps to Calculate GCD of 745, 505, 981 using LCM Formula

Given numbers are 745, 505, 981

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

Apply this formula for all numbers.

Step1:

LCM(745, 505) = 75245

GCD(745, 505) = ( 745 x 505 ) / 75245

= 745 / 505

= 745

Step2:

LCM(5, 981) = 4905

GCD(5, 981) = ( 5 x 981 ) / 4905

= 5 / 981

= 5

So, Greatest Common Divisor of 745, 505, 981 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 745, 505, 981

Given numbers are 745, 505, 981
The greatest common divisor of numbers 745, 505, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 505, 981 is 1.

FAQs on GCD of 745, 505, 981 Calculator

1. What is the GCD of 745, 505, 981?

GCD of given numbers 745, 505, 981 is 1

2. How to calculate the greatest common divisor of 745, 505, 981?

We can find the highest common divisor of 745, 505, 981 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 745, 505, 981 i.e 1.

3. How can I use the GCD of 745, 505, 981Calculator?

Out the numbers 745, 505, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.