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GCD of 600, 601, 214, 146 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 601, 214, 146 quickly. Get the easiest ways to solve the greatest common divisor of 600, 601, 214, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 601, 214, 146 with Factoring?

Given Input numbers are 600, 601, 214, 146

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 601 :

The positive integer divisors of 601 that completely divides 601 are.

1, 601

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (600, 601, 214, 146) = 1.

Find GCD of 600, 601, 214, 146 using Prime Factorization

Given numbers are 600, 601, 214, 146

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 601 are 601

Prime factors of 214 are 2 x 107

Prime factors of 146 are 2 x 73

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

Steps to Calculate GCD of 600, 601, 214, 146 using LCM Formula

Given numbers are 600, 601, 214, 146

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

Apply this formula for all numbers.

Step1:

LCM(600, 601) = 360600

GCD(600, 601) = ( 600 x 601 ) / 360600

= 600 / 601

= 600


Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1


Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


So, Greatest Common Divisor of 600, 601, 214, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 601, 214, 146

Given numbers are 600, 601, 214, 146
The greatest common divisor of numbers 600, 601, 214, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 601, 214, 146 is 1.

FAQs on GCD of 600, 601, 214, 146 Calculator

1. What is the GCD of 600, 601, 214, 146?

GCD of given numbers 600, 601, 214, 146 is 1


2. How to calculate the greatest common divisor of 600, 601, 214, 146?

We can find the highest common divisor of 600, 601, 214, 146 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 600, 601, 214, 146 i.e 1.


3. How can I use the GCD of 600, 601, 214, 146Calculator?

Out the numbers 600, 601, 214, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.