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GCD of 333, 138, 971, 275 Calculator

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


Online GCD Calculator is useful to find the GCD of 333, 138, 971, 275 quickly. Get the easiest ways to solve the greatest common divisor of 333, 138, 971, 275 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 333, 138, 971, 275 with Factoring?

Given Input numbers are 333, 138, 971, 275

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

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275


GCD of numbers is the greatest common divisor

So, the GCD (333, 138, 971, 275) = 1.

Find GCD of 333, 138, 971, 275 using Prime Factorization

Given numbers are 333, 138, 971, 275

The list of prime factors of all numbers are

Prime factors of 333 are 3 x 3 x 37

Prime factors of 138 are 2 x 3 x 23

Prime factors of 971 are 971

Prime factors of 275 are 5 x 5 x 11

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

Steps to Calculate GCD of 333, 138, 971, 275 using LCM Formula

Given numbers are 333, 138, 971, 275

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

Apply this formula for all numbers.

Step1:

LCM(333, 138) = 15318

GCD(333, 138) = ( 333 x 138 ) / 15318

= 333 / 138

= 333


Step2:

LCM(3, 971) = 2913

GCD(3, 971) = ( 3 x 971 ) / 2913

= 3 / 971

= 3


Step3:

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

= 1 / 275

= 1


So, Greatest Common Divisor of 333, 138, 971, 275 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 333, 138, 971, 275

Given numbers are 333, 138, 971, 275
The greatest common divisor of numbers 333, 138, 971, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 333, 138, 971, 275 is 1.

FAQs on GCD of 333, 138, 971, 275 Calculator

1. What is the GCD of 333, 138, 971, 275?

GCD of given numbers 333, 138, 971, 275 is 1


2. How to calculate the greatest common divisor of 333, 138, 971, 275?

We can find the highest common divisor of 333, 138, 971, 275 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 333, 138, 971, 275 i.e 1.


3. How can I use the GCD of 333, 138, 971, 275Calculator?

Out the numbers 333, 138, 971, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.