Online GCD Calculator is useful to find the GCD of 876, 128, 600, 744 quickly. Get the easiest ways to solve the greatest common divisor of 876, 128, 600, 744 i.e 4 in different methods as follows.
Given Input numbers are 876, 128, 600, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (876, 128, 600, 744) = 4.
Given numbers are 876, 128, 600, 744
The list of prime factors of all numbers are
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 22
Therefore, GCD of 876, 128, 600, 744 is 4.
Given numbers are 876, 128, 600, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 128) = 28032
GCD(876, 128) = ( 876 x 128 ) / 28032
= 876 / 128
= 876
Step2:
LCM(4, 600) = 600
GCD(4, 600) = ( 4 x 600 ) / 600
= 4 / 600
= 4
Step3:
LCM(4, 744) = 744
GCD(4, 744) = ( 4 x 744 ) / 744
= 4 / 744
= 4
So, Greatest Common Divisor of 876, 128, 600, 744 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 876, 128, 600, 744
The greatest common divisor of numbers 876, 128, 600, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 128, 600, 744 is 4.
1. What is the GCD of 876, 128, 600, 744?
GCD of given numbers 876, 128, 600, 744 is 4
2. How to calculate the greatest common divisor of 876, 128, 600, 744?
We can find the highest common divisor of 876, 128, 600, 744 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 876, 128, 600, 744 i.e 4.
3. How can I use the GCD of 876, 128, 600, 744Calculator?
Out the numbers 876, 128, 600, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.