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GCD of 450, 434, 645, 371 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, 434, 645, 371 quickly. Get the easiest ways to solve the greatest common divisor of 450, 434, 645, 371 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 434, 645, 371 with Factoring?

Given Input numbers are 450, 434, 645, 371

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 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371


GCD of numbers is the greatest common divisor

So, the GCD (450, 434, 645, 371) = 1.

Find GCD of 450, 434, 645, 371 using Prime Factorization

Given numbers are 450, 434, 645, 371

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 434 are 2 x 7 x 31

Prime factors of 645 are 3 x 5 x 43

Prime factors of 371 are 7 x 53

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

Steps to Calculate GCD of 450, 434, 645, 371 using LCM Formula

Given numbers are 450, 434, 645, 371

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

Apply this formula for all numbers.

Step1:

LCM(450, 434) = 97650

GCD(450, 434) = ( 450 x 434 ) / 97650

= 450 / 434

= 450


Step2:

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

= 2 / 645

= 2


Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1


So, Greatest Common Divisor of 450, 434, 645, 371 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 434, 645, 371

Given numbers are 450, 434, 645, 371
The greatest common divisor of numbers 450, 434, 645, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 434, 645, 371 is 1.

FAQs on GCD of 450, 434, 645, 371 Calculator

1. What is the GCD of 450, 434, 645, 371?

GCD of given numbers 450, 434, 645, 371 is 1


2. How to calculate the greatest common divisor of 450, 434, 645, 371?

We can find the highest common divisor of 450, 434, 645, 371 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, 434, 645, 371 i.e 1.


3. How can I use the GCD of 450, 434, 645, 371Calculator?

Out the numbers 450, 434, 645, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.