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GCD of 456, 606, 380, 201 Calculator

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


Online GCD Calculator is useful to find the GCD of 456, 606, 380, 201 quickly. Get the easiest ways to solve the greatest common divisor of 456, 606, 380, 201 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 456, 606, 380, 201 with Factoring?

Given Input numbers are 456, 606, 380, 201

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201


GCD of numbers is the greatest common divisor

So, the GCD (456, 606, 380, 201) = 1.

Find GCD of 456, 606, 380, 201 using Prime Factorization

Given numbers are 456, 606, 380, 201

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 606 are 2 x 3 x 101

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 201 are 3 x 67

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

Steps to Calculate GCD of 456, 606, 380, 201 using LCM Formula

Given numbers are 456, 606, 380, 201

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

Apply this formula for all numbers.

Step1:

LCM(456, 606) = 46056

GCD(456, 606) = ( 456 x 606 ) / 46056

= 456 / 606

= 456


Step2:

LCM(6, 380) = 1140

GCD(6, 380) = ( 6 x 380 ) / 1140

= 6 / 380

= 6


Step3:

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

= 2 / 201

= 2


So, Greatest Common Divisor of 456, 606, 380, 201 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 456, 606, 380, 201

Given numbers are 456, 606, 380, 201
The greatest common divisor of numbers 456, 606, 380, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 606, 380, 201 is 1.

FAQs on GCD of 456, 606, 380, 201 Calculator

1. What is the GCD of 456, 606, 380, 201?

GCD of given numbers 456, 606, 380, 201 is 1


2. How to calculate the greatest common divisor of 456, 606, 380, 201?

We can find the highest common divisor of 456, 606, 380, 201 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 456, 606, 380, 201 i.e 1.


3. How can I use the GCD of 456, 606, 380, 201Calculator?

Out the numbers 456, 606, 380, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.