Online GCD Calculator is useful to find the GCD of 844, 772, 156, 892 quickly. Get the easiest ways to solve the greatest common divisor of 844, 772, 156, 892 i.e 4 in different methods as follows.
Given Input numbers are 844, 772, 156, 892
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (844, 772, 156, 892) = 4.
Given numbers are 844, 772, 156, 892
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 772 are 2 x 2 x 193
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 892 are 2 x 2 x 223
The highest common occurrence is 22
Therefore, GCD of 844, 772, 156, 892 is 4.
Given numbers are 844, 772, 156, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 772) = 162892
GCD(844, 772) = ( 844 x 772 ) / 162892
= 844 / 772
= 844
Step2:
LCM(4, 156) = 156
GCD(4, 156) = ( 4 x 156 ) / 156
= 4 / 156
= 4
Step3:
LCM(4, 892) = 892
GCD(4, 892) = ( 4 x 892 ) / 892
= 4 / 892
= 4
So, Greatest Common Divisor of 844, 772, 156, 892 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 772, 156, 892
The greatest common divisor of numbers 844, 772, 156, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 772, 156, 892 is 4.
1. What is the GCD of 844, 772, 156, 892?
GCD of given numbers 844, 772, 156, 892 is 4
2. How to calculate the greatest common divisor of 844, 772, 156, 892?
We can find the highest common divisor of 844, 772, 156, 892 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, 772, 156, 892 i.e 4.
3. How can I use the GCD of 844, 772, 156, 892Calculator?
Out the numbers 844, 772, 156, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.