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GCD of 450, 196, 714 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, 196, 714 quickly. Get the easiest ways to solve the greatest common divisor of 450, 196, 714 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 196, 714 with Factoring?

Given Input numbers are 450, 196, 714

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714


GCD of numbers is the greatest common divisor

So, the GCD (450, 196, 714) = 2.

Find GCD of 450, 196, 714 using Prime Factorization

Given numbers are 450, 196, 714

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 196 are 2 x 2 x 7 x 7

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 21

Therefore, GCD of 450, 196, 714 is 2.

Steps to Calculate GCD of 450, 196, 714 using LCM Formula

Given numbers are 450, 196, 714

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

Apply this formula for all numbers.

Step1:

LCM(450, 196) = 44100

GCD(450, 196) = ( 450 x 196 ) / 44100

= 450 / 196

= 450


Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2


So, Greatest Common Divisor of 450, 196, 714 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 196, 714

Given numbers are 450, 196, 714
The greatest common divisor of numbers 450, 196, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 196, 714 is 2.

FAQs on GCD of 450, 196, 714 Calculator

1. What is the GCD of 450, 196, 714?

GCD of given numbers 450, 196, 714 is 2


2. How to calculate the greatest common divisor of 450, 196, 714?

We can find the highest common divisor of 450, 196, 714 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, 196, 714 i.e 2.


3. How can I use the GCD of 450, 196, 714Calculator?

Out the numbers 450, 196, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.