Where do I get the detailed procedure to find GCD of 735, 975, 245?

You can find a detailed procedure to find GCD of 735, 975, 245 on our page.

How to find GCD of 735, 975, 245 on a calculator?

You can find the GCD of 735, 975, 245 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 735, 975, 245 Calculator

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

Online GCD Calculator is useful to find the GCD of 735, 975, 245 quickly. Get the easiest ways to solve the greatest common divisor of 735, 975, 245 i.e 5 in different methods as follows.

How to Find GCD of Numbers 735, 975, 245 with Factoring?

Given Input numbers are 735, 975, 245

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

GCD of numbers is the greatest common divisor

So, the GCD (735, 975, 245) = 5.

Find GCD of 735, 975, 245 using Prime Factorization

Given numbers are 735, 975, 245

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 245 are 5 x 7 x 7

The highest common occurrence is 5¹

Therefore, GCD of 735, 975, 245 is 5.

Steps to Calculate GCD of 735, 975, 245 using LCM Formula

Given numbers are 735, 975, 245

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

Apply this formula for all numbers.

Step1:

LCM(735, 975) = 47775

GCD(735, 975) = ( 735 x 975 ) / 47775

= 735 / 975

= 735

Step2:

LCM(15, 245) = 735

GCD(15, 245) = ( 15 x 245 ) / 735

= 15 / 245

= 15

So, Greatest Common Divisor of 735, 975, 245 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 735, 975, 245

Given numbers are 735, 975, 245
The greatest common divisor of numbers 735, 975, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 975, 245 is 5.

FAQs on GCD of 735, 975, 245 Calculator

1. What is the GCD of 735, 975, 245?

GCD of given numbers 735, 975, 245 is 5

2. How to calculate the greatest common divisor of 735, 975, 245?

We can find the highest common divisor of 735, 975, 245 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 735, 975, 245 i.e 5.

3. How can I use the GCD of 735, 975, 245Calculator?

Out the numbers 735, 975, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.