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GCD of 450, 345, 49, 247 Calculator

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


Online GCD Calculator is useful to find the GCD of 450, 345, 49, 247 quickly. Get the easiest ways to solve the greatest common divisor of 450, 345, 49, 247 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 345, 49, 247 with Factoring?

Given Input numbers are 450, 345, 49, 247

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247


GCD of numbers is the greatest common divisor

So, the GCD (450, 345, 49, 247) = 1.

Find GCD of 450, 345, 49, 247 using Prime Factorization

Given numbers are 450, 345, 49, 247

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 345 are 3 x 5 x 23

Prime factors of 49 are 7 x 7

Prime factors of 247 are 13 x 19

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

Steps to Calculate GCD of 450, 345, 49, 247 using LCM Formula

Given numbers are 450, 345, 49, 247

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

Apply this formula for all numbers.

Step1:

LCM(450, 345) = 10350

GCD(450, 345) = ( 450 x 345 ) / 10350

= 450 / 345

= 450


Step2:

LCM(15, 49) = 735

GCD(15, 49) = ( 15 x 49 ) / 735

= 15 / 49

= 15


Step3:

LCM(1, 247) = 247

GCD(1, 247) = ( 1 x 247 ) / 247

= 1 / 247

= 1


So, Greatest Common Divisor of 450, 345, 49, 247 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 345, 49, 247

Given numbers are 450, 345, 49, 247
The greatest common divisor of numbers 450, 345, 49, 247 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 345, 49, 247 is 1.

FAQs on GCD of 450, 345, 49, 247 Calculator

1. What is the GCD of 450, 345, 49, 247?

GCD of given numbers 450, 345, 49, 247 is 1


2. How to calculate the greatest common divisor of 450, 345, 49, 247?

We can find the highest common divisor of 450, 345, 49, 247 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 450, 345, 49, 247 i.e 1.


3. How can I use the GCD of 450, 345, 49, 247Calculator?

Out the numbers 450, 345, 49, 247 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.