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GCD of 732, 300, 954, 803 Calculator

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


Online GCD Calculator is useful to find the GCD of 732, 300, 954, 803 quickly. Get the easiest ways to solve the greatest common divisor of 732, 300, 954, 803 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 300, 954, 803 with Factoring?

Given Input numbers are 732, 300, 954, 803

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803


GCD of numbers is the greatest common divisor

So, the GCD (732, 300, 954, 803) = 1.

Find GCD of 732, 300, 954, 803 using Prime Factorization

Given numbers are 732, 300, 954, 803

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 803 are 11 x 73

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

Steps to Calculate GCD of 732, 300, 954, 803 using LCM Formula

Given numbers are 732, 300, 954, 803

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

Apply this formula for all numbers.

Step1:

LCM(732, 300) = 18300

GCD(732, 300) = ( 732 x 300 ) / 18300

= 732 / 300

= 732


Step2:

LCM(12, 954) = 1908

GCD(12, 954) = ( 12 x 954 ) / 1908

= 12 / 954

= 12


Step3:

LCM(6, 803) = 4818

GCD(6, 803) = ( 6 x 803 ) / 4818

= 6 / 803

= 6


So, Greatest Common Divisor of 732, 300, 954, 803 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 300, 954, 803

Given numbers are 732, 300, 954, 803
The greatest common divisor of numbers 732, 300, 954, 803 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 300, 954, 803 is 1.

FAQs on GCD of 732, 300, 954, 803 Calculator

1. What is the GCD of 732, 300, 954, 803?

GCD of given numbers 732, 300, 954, 803 is 1


2. How to calculate the greatest common divisor of 732, 300, 954, 803?

We can find the highest common divisor of 732, 300, 954, 803 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 732, 300, 954, 803 i.e 1.


3. How can I use the GCD of 732, 300, 954, 803Calculator?

Out the numbers 732, 300, 954, 803 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.