Online GCD Calculator is useful to find the GCD of 824, 260, 200, 202 quickly. Get the easiest ways to solve the greatest common divisor of 824, 260, 200, 202 i.e 2 in different methods as follows.
Given Input numbers are 824, 260, 200, 202
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
GCD of numbers is the greatest common divisor
So, the GCD (824, 260, 200, 202) = 2.
Given numbers are 824, 260, 200, 202
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 202 are 2 x 101
The highest common occurrence is 21
Therefore, GCD of 824, 260, 200, 202 is 2.
Given numbers are 824, 260, 200, 202
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 260) = 53560
GCD(824, 260) = ( 824 x 260 ) / 53560
= 824 / 260
= 824
Step2:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
Step3:
LCM(4, 202) = 404
GCD(4, 202) = ( 4 x 202 ) / 404
= 4 / 202
= 4
So, Greatest Common Divisor of 824, 260, 200, 202 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 260, 200, 202
The greatest common divisor of numbers 824, 260, 200, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 260, 200, 202 is 2.
1. What is the GCD of 824, 260, 200, 202?
GCD of given numbers 824, 260, 200, 202 is 2
2. How to calculate the greatest common divisor of 824, 260, 200, 202?
We can find the highest common divisor of 824, 260, 200, 202 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 824, 260, 200, 202 i.e 2.
3. How can I use the GCD of 824, 260, 200, 202Calculator?
Out the numbers 824, 260, 200, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.