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GCD of 150, 723, 102, 697 Calculator

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


Online GCD Calculator is useful to find the GCD of 150, 723, 102, 697 quickly. Get the easiest ways to solve the greatest common divisor of 150, 723, 102, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 723, 102, 697 with Factoring?

Given Input numbers are 150, 723, 102, 697

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (150, 723, 102, 697) = 1.

Find GCD of 150, 723, 102, 697 using Prime Factorization

Given numbers are 150, 723, 102, 697

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 723 are 3 x 241

Prime factors of 102 are 2 x 3 x 17

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 150, 723, 102, 697 using LCM Formula

Given numbers are 150, 723, 102, 697

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

Apply this formula for all numbers.

Step1:

LCM(150, 723) = 36150

GCD(150, 723) = ( 150 x 723 ) / 36150

= 150 / 723

= 150


Step2:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3


Step3:

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

= 3 / 697

= 3


So, Greatest Common Divisor of 150, 723, 102, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 723, 102, 697

Given numbers are 150, 723, 102, 697
The greatest common divisor of numbers 150, 723, 102, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 723, 102, 697 is 1.

FAQs on GCD of 150, 723, 102, 697 Calculator

1. What is the GCD of 150, 723, 102, 697?

GCD of given numbers 150, 723, 102, 697 is 1


2. How to calculate the greatest common divisor of 150, 723, 102, 697?

We can find the highest common divisor of 150, 723, 102, 697 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 150, 723, 102, 697 i.e 1.


3. How can I use the GCD of 150, 723, 102, 697Calculator?

Out the numbers 150, 723, 102, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.