Online GCD Calculator is useful to find the GCD of 844, 276, 196, 200 quickly. Get the easiest ways to solve the greatest common divisor of 844, 276, 196, 200 i.e 4 in different methods as follows.
Given Input numbers are 844, 276, 196, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
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 (844, 276, 196, 200) = 4.
Given numbers are 844, 276, 196, 200
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 844, 276, 196, 200 is 4.
Given numbers are 844, 276, 196, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 276) = 58236
GCD(844, 276) = ( 844 x 276 ) / 58236
= 844 / 276
= 844
Step2:
LCM(4, 196) = 196
GCD(4, 196) = ( 4 x 196 ) / 196
= 4 / 196
= 4
Step3:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
So, Greatest Common Divisor of 844, 276, 196, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 276, 196, 200
The greatest common divisor of numbers 844, 276, 196, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 276, 196, 200 is 4.
1. What is the GCD of 844, 276, 196, 200?
GCD of given numbers 844, 276, 196, 200 is 4
2. How to calculate the greatest common divisor of 844, 276, 196, 200?
We can find the highest common divisor of 844, 276, 196, 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 844, 276, 196, 200 i.e 4.
3. How can I use the GCD of 844, 276, 196, 200Calculator?
Out the numbers 844, 276, 196, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.