GCD of 370, 540, 52 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 370, 540, 52 quickly. Get the easiest ways to solve the greatest common divisor of 370, 540, 52 i.e 2 in different methods as follows.
Given Input numbers are 370, 540, 52
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
GCD of numbers is the greatest common divisor
So, the GCD (370, 540, 52) = 2.
Given numbers are 370, 540, 52
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 52 are 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 370, 540, 52 is 2.
Steps to Calculate GCD of 370, 540, 52 using LCM Formula
Given numbers are 370, 540, 52
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 540) = 19980
GCD(370, 540) = ( 370 x 540 ) / 19980
= 370 / 540
= 370
Step2:
LCM(10, 52) = 260
GCD(10, 52) = ( 10 x 52 ) / 260
= 10 / 52
= 10
So, Greatest Common Divisor of 370, 540, 52 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 370, 540, 52
Given numbers are 370, 540, 52
The greatest common divisor of numbers 370, 540, 52 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 540, 52 is 2.
FAQs on GCD of 370, 540, 52 Calculator
1. What is the GCD of 370, 540, 52?
GCD of given numbers 370, 540, 52 is 2
2. How to calculate the greatest common divisor of 370, 540, 52?
We can find the highest common divisor of 370, 540, 52 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 370, 540, 52 i.e 2.
3. How can I use the GCD of 370, 540, 52Calculator?
Out the numbers 370, 540, 52 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.