Online GCD Calculator is useful to find the GCD of 252, 776, 164, 200 quickly. Get the easiest ways to solve the greatest common divisor of 252, 776, 164, 200 i.e 4 in different methods as follows.
Given Input numbers are 252, 776, 164, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
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
GCD of numbers is the greatest common divisor
So, the GCD (252, 776, 164, 200) = 4.
Given numbers are 252, 776, 164, 200
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 164 are 2 x 2 x 41
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 252, 776, 164, 200 is 4.
Given numbers are 252, 776, 164, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 776) = 48888
GCD(252, 776) = ( 252 x 776 ) / 48888
= 252 / 776
= 252
Step2:
LCM(4, 164) = 164
GCD(4, 164) = ( 4 x 164 ) / 164
= 4 / 164
= 4
Step3:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
So, Greatest Common Divisor of 252, 776, 164, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 776, 164, 200
The greatest common divisor of numbers 252, 776, 164, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 776, 164, 200 is 4.
1. What is the GCD of 252, 776, 164, 200?
GCD of given numbers 252, 776, 164, 200 is 4
2. How to calculate the greatest common divisor of 252, 776, 164, 200?
We can find the highest common divisor of 252, 776, 164, 200 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 252, 776, 164, 200 i.e 4.
3. How can I use the GCD of 252, 776, 164, 200Calculator?
Out the numbers 252, 776, 164, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.