GCD of 214, 504, 140 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 214, 504, 140 quickly. Get the easiest ways to solve the greatest common divisor of 214, 504, 140 i.e 2 in different methods as follows.
Given Input numbers are 214, 504, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (214, 504, 140) = 2.
Given numbers are 214, 504, 140
The list of prime factors of all numbers are
Prime factors of 214 are 2 x 107
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 214, 504, 140 is 2.
Steps to Calculate GCD of 214, 504, 140 using LCM Formula
Given numbers are 214, 504, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(214, 504) = 53928
GCD(214, 504) = ( 214 x 504 ) / 53928
= 214 / 504
= 214
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 214, 504, 140 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 214, 504, 140
Given numbers are 214, 504, 140
The greatest common divisor of numbers 214, 504, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 504, 140 is 2.
FAQs on GCD of 214, 504, 140 Calculator
1. What is the GCD of 214, 504, 140?
GCD of given numbers 214, 504, 140 is 2
2. How to calculate the greatest common divisor of 214, 504, 140?
We can find the highest common divisor of 214, 504, 140 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 214, 504, 140 i.e 2.
3. How can I use the GCD of 214, 504, 140Calculator?
Out the numbers 214, 504, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.