Online GCD Calculator is useful to find the GCD of 524, 628, 470, 832 quickly. Get the easiest ways to solve the greatest common divisor of 524, 628, 470, 832 i.e 2 in different methods as follows.
Given Input numbers are 524, 628, 470, 832
In the factoring method, we have to find the divisors of all numbers
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
GCD of numbers is the greatest common divisor
So, the GCD (524, 628, 470, 832) = 2.
Given numbers are 524, 628, 470, 832
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 628 are 2 x 2 x 157
Prime factors of 470 are 2 x 5 x 47
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 524, 628, 470, 832 is 2.
Given numbers are 524, 628, 470, 832
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 628) = 82268
GCD(524, 628) = ( 524 x 628 ) / 82268
= 524 / 628
= 524
Step2:
LCM(4, 470) = 940
GCD(4, 470) = ( 4 x 470 ) / 940
= 4 / 470
= 4
Step3:
LCM(2, 832) = 832
GCD(2, 832) = ( 2 x 832 ) / 832
= 2 / 832
= 2
So, Greatest Common Divisor of 524, 628, 470, 832 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 628, 470, 832
The greatest common divisor of numbers 524, 628, 470, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 628, 470, 832 is 2.
1. What is the GCD of 524, 628, 470, 832?
GCD of given numbers 524, 628, 470, 832 is 2
2. How to calculate the greatest common divisor of 524, 628, 470, 832?
We can find the highest common divisor of 524, 628, 470, 832 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 524, 628, 470, 832 i.e 2.
3. How can I use the GCD of 524, 628, 470, 832Calculator?
Out the numbers 524, 628, 470, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.