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GCD of 900, 947, 49 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 947, 49 quickly. Get the easiest ways to solve the greatest common divisor of 900, 947, 49 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 947, 49 with Factoring?

Given Input numbers are 900, 947, 49

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49


GCD of numbers is the greatest common divisor

So, the GCD (900, 947, 49) = 1.

Find GCD of 900, 947, 49 using Prime Factorization

Given numbers are 900, 947, 49

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 947 are 947

Prime factors of 49 are 7 x 7

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

Steps to Calculate GCD of 900, 947, 49 using LCM Formula

Given numbers are 900, 947, 49

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

Apply this formula for all numbers.

Step1:

LCM(900, 947) = 852300

GCD(900, 947) = ( 900 x 947 ) / 852300

= 900 / 947

= 900


Step2:

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

= 1 / 49

= 1


So, Greatest Common Divisor of 900, 947, 49 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 947, 49

Given numbers are 900, 947, 49
The greatest common divisor of numbers 900, 947, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 947, 49 is 1.

FAQs on GCD of 900, 947, 49 Calculator

1. What is the GCD of 900, 947, 49?

GCD of given numbers 900, 947, 49 is 1


2. How to calculate the greatest common divisor of 900, 947, 49?

We can find the highest common divisor of 900, 947, 49 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 900, 947, 49 i.e 1.


3. How can I use the GCD of 900, 947, 49Calculator?

Out the numbers 900, 947, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.