Online GCD Calculator is useful to find the GCD of 452, 824, 476, 682 quickly. Get the easiest ways to solve the greatest common divisor of 452, 824, 476, 682 i.e 2 in different methods as follows.
Given Input numbers are 452, 824, 476, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (452, 824, 476, 682) = 2.
Given numbers are 452, 824, 476, 682
The list of prime factors of all numbers are
Prime factors of 452 are 2 x 2 x 113
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 452, 824, 476, 682 is 2.
Given numbers are 452, 824, 476, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(452, 824) = 93112
GCD(452, 824) = ( 452 x 824 ) / 93112
= 452 / 824
= 452
Step2:
LCM(4, 476) = 476
GCD(4, 476) = ( 4 x 476 ) / 476
= 4 / 476
= 4
Step3:
LCM(4, 682) = 1364
GCD(4, 682) = ( 4 x 682 ) / 1364
= 4 / 682
= 4
So, Greatest Common Divisor of 452, 824, 476, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 452, 824, 476, 682
The greatest common divisor of numbers 452, 824, 476, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 824, 476, 682 is 2.
1. What is the GCD of 452, 824, 476, 682?
GCD of given numbers 452, 824, 476, 682 is 2
2. How to calculate the greatest common divisor of 452, 824, 476, 682?
We can find the highest common divisor of 452, 824, 476, 682 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 452, 824, 476, 682 i.e 2.
3. How can I use the GCD of 452, 824, 476, 682Calculator?
Out the numbers 452, 824, 476, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.