GCD of 909, 678, 237 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 909, 678, 237 quickly. Get the easiest ways to solve the greatest common divisor of 909, 678, 237 i.e 3 in different methods as follows.
Given Input numbers are 909, 678, 237
In the factoring method, we have to find the divisors of all numbers
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
GCD of numbers is the greatest common divisor
So, the GCD (909, 678, 237) = 3.
Given numbers are 909, 678, 237
The list of prime factors of all numbers are
Prime factors of 909 are 3 x 3 x 101
Prime factors of 678 are 2 x 3 x 113
Prime factors of 237 are 3 x 79
The highest common occurrence is 31
Therefore, GCD of 909, 678, 237 is 3.
Steps to Calculate GCD of 909, 678, 237 using LCM Formula
Given numbers are 909, 678, 237
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(909, 678) = 205434
GCD(909, 678) = ( 909 x 678 ) / 205434
= 909 / 678
= 909
Step2:
LCM(3, 237) = 237
GCD(3, 237) = ( 3 x 237 ) / 237
= 3 / 237
= 3
So, Greatest Common Divisor of 909, 678, 237 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 909, 678, 237
Given numbers are 909, 678, 237
The greatest common divisor of numbers 909, 678, 237 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 678, 237 is 3.
FAQs on GCD of 909, 678, 237 Calculator
1. What is the GCD of 909, 678, 237?
GCD of given numbers 909, 678, 237 is 3
2. How to calculate the greatest common divisor of 909, 678, 237?
We can find the highest common divisor of 909, 678, 237 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 909, 678, 237 i.e 3.
3. How can I use the GCD of 909, 678, 237Calculator?
Out the numbers 909, 678, 237 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.