Online GCD Calculator is useful to find the GCD of 828, 652, 352, 532 quickly. Get the easiest ways to solve the greatest common divisor of 828, 652, 352, 532 i.e 4 in different methods as follows.
Given Input numbers are 828, 652, 352, 532
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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
GCD of numbers is the greatest common divisor
So, the GCD (828, 652, 352, 532) = 4.
Given numbers are 828, 652, 352, 532
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 652 are 2 x 2 x 163
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 532 are 2 x 2 x 7 x 19
The highest common occurrence is 22
Therefore, GCD of 828, 652, 352, 532 is 4.
Given numbers are 828, 652, 352, 532
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 652) = 134964
GCD(828, 652) = ( 828 x 652 ) / 134964
= 828 / 652
= 828
Step2:
LCM(4, 352) = 352
GCD(4, 352) = ( 4 x 352 ) / 352
= 4 / 352
= 4
Step3:
LCM(4, 532) = 532
GCD(4, 532) = ( 4 x 532 ) / 532
= 4 / 532
= 4
So, Greatest Common Divisor of 828, 652, 352, 532 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 652, 352, 532
The greatest common divisor of numbers 828, 652, 352, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 652, 352, 532 is 4.
1. What is the GCD of 828, 652, 352, 532?
GCD of given numbers 828, 652, 352, 532 is 4
2. How to calculate the greatest common divisor of 828, 652, 352, 532?
We can find the highest common divisor of 828, 652, 352, 532 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 828, 652, 352, 532 i.e 4.
3. How can I use the GCD of 828, 652, 352, 532Calculator?
Out the numbers 828, 652, 352, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.