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GCD of 890, 749, 723, 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 890, 749, 723, 201 quickly. Get the easiest ways to solve the greatest common divisor of 890, 749, 723, 201 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 890, 749, 723, 201 with Factoring?

Given Input numbers are 890, 749, 723, 201

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

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 (890, 749, 723, 201) = 1.

Find GCD of 890, 749, 723, 201 using Prime Factorization

Given numbers are 890, 749, 723, 201

The list of prime factors of all numbers are

Prime factors of 890 are 2 x 5 x 89

Prime factors of 749 are 7 x 107

Prime factors of 723 are 3 x 241

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 890, 749, 723, 201 using LCM Formula

Given numbers are 890, 749, 723, 201

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

Apply this formula for all numbers.

Step1:

LCM(890, 749) = 666610

GCD(890, 749) = ( 890 x 749 ) / 666610

= 890 / 749

= 890


Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1


Step3:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1


So, Greatest Common Divisor of 890, 749, 723, 201 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 890, 749, 723, 201

Given numbers are 890, 749, 723, 201
The greatest common divisor of numbers 890, 749, 723, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 749, 723, 201 is 1.

FAQs on GCD of 890, 749, 723, 201 Calculator

1. What is the GCD of 890, 749, 723, 201?

GCD of given numbers 890, 749, 723, 201 is 1


2. How to calculate the greatest common divisor of 890, 749, 723, 201?

We can find the highest common divisor of 890, 749, 723, 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 890, 749, 723, 201 i.e 1.


3. How can I use the GCD of 890, 749, 723, 201Calculator?

Out the numbers 890, 749, 723, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.