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GCD of 154, 322, 966, 747 Calculator

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


Online GCD Calculator is useful to find the GCD of 154, 322, 966, 747 quickly. Get the easiest ways to solve the greatest common divisor of 154, 322, 966, 747 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 154, 322, 966, 747 with Factoring?

Given Input numbers are 154, 322, 966, 747

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

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747


GCD of numbers is the greatest common divisor

So, the GCD (154, 322, 966, 747) = 1.

Find GCD of 154, 322, 966, 747 using Prime Factorization

Given numbers are 154, 322, 966, 747

The list of prime factors of all numbers are

Prime factors of 154 are 2 x 7 x 11

Prime factors of 322 are 2 x 7 x 23

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 747 are 3 x 3 x 83

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

Steps to Calculate GCD of 154, 322, 966, 747 using LCM Formula

Given numbers are 154, 322, 966, 747

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

Apply this formula for all numbers.

Step1:

LCM(154, 322) = 3542

GCD(154, 322) = ( 154 x 322 ) / 3542

= 154 / 322

= 154


Step2:

LCM(14, 966) = 966

GCD(14, 966) = ( 14 x 966 ) / 966

= 14 / 966

= 14


Step3:

LCM(14, 747) = 10458

GCD(14, 747) = ( 14 x 747 ) / 10458

= 14 / 747

= 14


So, Greatest Common Divisor of 154, 322, 966, 747 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 154, 322, 966, 747

Given numbers are 154, 322, 966, 747
The greatest common divisor of numbers 154, 322, 966, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 322, 966, 747 is 1.

FAQs on GCD of 154, 322, 966, 747 Calculator

1. What is the GCD of 154, 322, 966, 747?

GCD of given numbers 154, 322, 966, 747 is 1


2. How to calculate the greatest common divisor of 154, 322, 966, 747?

We can find the highest common divisor of 154, 322, 966, 747 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 154, 322, 966, 747 i.e 1.


3. How can I use the GCD of 154, 322, 966, 747Calculator?

Out the numbers 154, 322, 966, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.