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GCD of 948, 477, 954, 909 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 477, 954, 909 quickly. Get the easiest ways to solve the greatest common divisor of 948, 477, 954, 909 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 477, 954, 909 with Factoring?

Given Input numbers are 948, 477, 954, 909

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909


GCD of numbers is the greatest common divisor

So, the GCD (948, 477, 954, 909) = 3.

Find GCD of 948, 477, 954, 909 using Prime Factorization

Given numbers are 948, 477, 954, 909

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 477 are 3 x 3 x 53

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

Prime factors of 909 are 3 x 3 x 101

The highest common occurrence is 31

Therefore, GCD of 948, 477, 954, 909 is 3.

Steps to Calculate GCD of 948, 477, 954, 909 using LCM Formula

Given numbers are 948, 477, 954, 909

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

Apply this formula for all numbers.

Step1:

LCM(948, 477) = 150732

GCD(948, 477) = ( 948 x 477 ) / 150732

= 948 / 477

= 948


Step2:

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

= 3 / 954

= 3


Step3:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3


So, Greatest Common Divisor of 948, 477, 954, 909 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 477, 954, 909

Given numbers are 948, 477, 954, 909
The greatest common divisor of numbers 948, 477, 954, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 477, 954, 909 is 3.

FAQs on GCD of 948, 477, 954, 909 Calculator

1. What is the GCD of 948, 477, 954, 909?

GCD of given numbers 948, 477, 954, 909 is 3


2. How to calculate the greatest common divisor of 948, 477, 954, 909?

We can find the highest common divisor of 948, 477, 954, 909 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 948, 477, 954, 909 i.e 3.


3. How can I use the GCD of 948, 477, 954, 909Calculator?

Out the numbers 948, 477, 954, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.