Online GCD Calculator is useful to find the GCD of 522, 716, 802, 400 quickly. Get the easiest ways to solve the greatest common divisor of 522, 716, 802, 400 i.e 2 in different methods as follows.
Given Input numbers are 522, 716, 802, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (522, 716, 802, 400) = 2.
Given numbers are 522, 716, 802, 400
The list of prime factors of all numbers are
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 716 are 2 x 2 x 179
Prime factors of 802 are 2 x 401
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 522, 716, 802, 400 is 2.
Given numbers are 522, 716, 802, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(522, 716) = 186876
GCD(522, 716) = ( 522 x 716 ) / 186876
= 522 / 716
= 522
Step2:
LCM(2, 802) = 802
GCD(2, 802) = ( 2 x 802 ) / 802
= 2 / 802
= 2
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 522, 716, 802, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 522, 716, 802, 400
The greatest common divisor of numbers 522, 716, 802, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 716, 802, 400 is 2.
1. What is the GCD of 522, 716, 802, 400?
GCD of given numbers 522, 716, 802, 400 is 2
2. How to calculate the greatest common divisor of 522, 716, 802, 400?
We can find the highest common divisor of 522, 716, 802, 400 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 522, 716, 802, 400 i.e 2.
3. How can I use the GCD of 522, 716, 802, 400Calculator?
Out the numbers 522, 716, 802, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.