GCD of 210, 618, 69 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 210, 618, 69 quickly. Get the easiest ways to solve the greatest common divisor of 210, 618, 69 i.e 3 in different methods as follows.
Given Input numbers are 210, 618, 69
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
GCD of numbers is the greatest common divisor
So, the GCD (210, 618, 69) = 3.
Given numbers are 210, 618, 69
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 618 are 2 x 3 x 103
Prime factors of 69 are 3 x 23
The highest common occurrence is 31
Therefore, GCD of 210, 618, 69 is 3.
Steps to Calculate GCD of 210, 618, 69 using LCM Formula
Given numbers are 210, 618, 69
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 618) = 21630
GCD(210, 618) = ( 210 x 618 ) / 21630
= 210 / 618
= 210
Step2:
LCM(6, 69) = 138
GCD(6, 69) = ( 6 x 69 ) / 138
= 6 / 69
= 6
So, Greatest Common Divisor of 210, 618, 69 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 210, 618, 69
Given numbers are 210, 618, 69
The greatest common divisor of numbers 210, 618, 69 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 618, 69 is 3.
FAQs on GCD of 210, 618, 69 Calculator
1. What is the GCD of 210, 618, 69?
GCD of given numbers 210, 618, 69 is 3
2. How to calculate the greatest common divisor of 210, 618, 69?
We can find the highest common divisor of 210, 618, 69 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 210, 618, 69 i.e 3.
3. How can I use the GCD of 210, 618, 69Calculator?
Out the numbers 210, 618, 69 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.