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GCD of 742, 191, 315, 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 742, 191, 315, 245 quickly. Get the easiest ways to solve the greatest common divisor of 742, 191, 315, 245 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 191, 315, 245 with Factoring?

Given Input numbers are 742, 191, 315, 245

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 191 :

The positive integer divisors of 191 that completely divides 191 are.

1, 191

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 (742, 191, 315, 245) = 1.

Find GCD of 742, 191, 315, 245 using Prime Factorization

Given numbers are 742, 191, 315, 245

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 191 are 191

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 245 are 5 x 7 x 7

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

Steps to Calculate GCD of 742, 191, 315, 245 using LCM Formula

Given numbers are 742, 191, 315, 245

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

Apply this formula for all numbers.

Step1:

LCM(742, 191) = 141722

GCD(742, 191) = ( 742 x 191 ) / 141722

= 742 / 191

= 742


Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1


Step3:

LCM(1, 245) = 245

GCD(1, 245) = ( 1 x 245 ) / 245

= 1 / 245

= 1


So, Greatest Common Divisor of 742, 191, 315, 245 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 191, 315, 245

Given numbers are 742, 191, 315, 245
The greatest common divisor of numbers 742, 191, 315, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 191, 315, 245 is 1.

FAQs on GCD of 742, 191, 315, 245 Calculator

1. What is the GCD of 742, 191, 315, 245?

GCD of given numbers 742, 191, 315, 245 is 1


2. How to calculate the greatest common divisor of 742, 191, 315, 245?

We can find the highest common divisor of 742, 191, 315, 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 742, 191, 315, 245 i.e 1.


3. How can I use the GCD of 742, 191, 315, 245Calculator?

Out the numbers 742, 191, 315, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.