Online GCD Calculator is useful to find the GCD of 876, 142, 792, 440 quickly. Get the easiest ways to solve the greatest common divisor of 876, 142, 792, 440 i.e 2 in different methods as follows.
Given Input numbers are 876, 142, 792, 440
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (876, 142, 792, 440) = 2.
Given numbers are 876, 142, 792, 440
The list of prime factors of all numbers are
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 142 are 2 x 71
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 876, 142, 792, 440 is 2.
Given numbers are 876, 142, 792, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 142) = 62196
GCD(876, 142) = ( 876 x 142 ) / 62196
= 876 / 142
= 876
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 440) = 440
GCD(2, 440) = ( 2 x 440 ) / 440
= 2 / 440
= 2
So, Greatest Common Divisor of 876, 142, 792, 440 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 876, 142, 792, 440
The greatest common divisor of numbers 876, 142, 792, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 142, 792, 440 is 2.
1. What is the GCD of 876, 142, 792, 440?
GCD of given numbers 876, 142, 792, 440 is 2
2. How to calculate the greatest common divisor of 876, 142, 792, 440?
We can find the highest common divisor of 876, 142, 792, 440 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, 142, 792, 440 i.e 2.
3. How can I use the GCD of 876, 142, 792, 440Calculator?
Out the numbers 876, 142, 792, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.