GCD of 272, 470, 542 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 272, 470, 542 quickly. Get the easiest ways to solve the greatest common divisor of 272, 470, 542 i.e 2 in different methods as follows.
Given Input numbers are 272, 470, 542
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
GCD of numbers is the greatest common divisor
So, the GCD (272, 470, 542) = 2.
Given numbers are 272, 470, 542
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 470 are 2 x 5 x 47
Prime factors of 542 are 2 x 271
The highest common occurrence is 21
Therefore, GCD of 272, 470, 542 is 2.
Steps to Calculate GCD of 272, 470, 542 using LCM Formula
Given numbers are 272, 470, 542
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 470) = 63920
GCD(272, 470) = ( 272 x 470 ) / 63920
= 272 / 470
= 272
Step2:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
So, Greatest Common Divisor of 272, 470, 542 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 272, 470, 542
Given numbers are 272, 470, 542
The greatest common divisor of numbers 272, 470, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 470, 542 is 2.
FAQs on GCD of 272, 470, 542 Calculator
1. What is the GCD of 272, 470, 542?
GCD of given numbers 272, 470, 542 is 2
2. How to calculate the greatest common divisor of 272, 470, 542?
We can find the highest common divisor of 272, 470, 542 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 272, 470, 542 i.e 2.
3. How can I use the GCD of 272, 470, 542Calculator?
Out the numbers 272, 470, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.