GCD of 520, 560, 74 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 520, 560, 74 quickly. Get the easiest ways to solve the greatest common divisor of 520, 560, 74 i.e 2 in different methods as follows.
Given Input numbers are 520, 560, 74
In the factoring method, we have to find the divisors of all numbers
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
GCD of numbers is the greatest common divisor
So, the GCD (520, 560, 74) = 2.
Given numbers are 520, 560, 74
The list of prime factors of all numbers are
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 74 are 2 x 37
The highest common occurrence is 21
Therefore, GCD of 520, 560, 74 is 2.
Steps to Calculate GCD of 520, 560, 74 using LCM Formula
Given numbers are 520, 560, 74
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(520, 560) = 7280
GCD(520, 560) = ( 520 x 560 ) / 7280
= 520 / 560
= 520
Step2:
LCM(40, 74) = 1480
GCD(40, 74) = ( 40 x 74 ) / 1480
= 40 / 74
= 40
So, Greatest Common Divisor of 520, 560, 74 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 520, 560, 74
Given numbers are 520, 560, 74
The greatest common divisor of numbers 520, 560, 74 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 560, 74 is 2.
FAQs on GCD of 520, 560, 74 Calculator
1. What is the GCD of 520, 560, 74?
GCD of given numbers 520, 560, 74 is 2
2. How to calculate the greatest common divisor of 520, 560, 74?
We can find the highest common divisor of 520, 560, 74 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 520, 560, 74 i.e 2.
3. How can I use the GCD of 520, 560, 74Calculator?
Out the numbers 520, 560, 74 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.