Online GCD Calculator is useful to find the GCD of 532, 470, 58 quickly. Get the easiest ways to solve the greatest common divisor of 532, 470, 58 i.e 2 in different methods as follows.
Given Input numbers are 532, 470, 58
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 58 :
The positive integer divisors of 58 that completely divides 58 are.
1, 2, 29, 58
GCD of numbers is the greatest common divisor
So, the GCD (532, 470, 58) = 2.
Given numbers are 532, 470, 58
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 470 are 2 x 5 x 47
Prime factors of 58 are 2 x 29
The highest common occurrence is 21
Therefore, GCD of 532, 470, 58 is 2.
Given numbers are 532, 470, 58
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 470) = 125020
GCD(532, 470) = ( 532 x 470 ) / 125020
= 532 / 470
= 532
Step2:
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
= 2 / 58
= 2
So, Greatest Common Divisor of 532, 470, 58 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 470, 58
The greatest common divisor of numbers 532, 470, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 470, 58 is 2.
1. What is the GCD of 532, 470, 58?
GCD of given numbers 532, 470, 58 is 2
2. How to calculate the greatest common divisor of 532, 470, 58?
We can find the highest common divisor of 532, 470, 58 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 532, 470, 58 i.e 2.
3. How can I use the GCD of 532, 470, 58Calculator?
Out the numbers 532, 470, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.