Online GCD Calculator is useful to find the GCD of 874, 876, 120, 446 quickly. Get the easiest ways to solve the greatest common divisor of 874, 876, 120, 446 i.e 2 in different methods as follows.
Given Input numbers are 874, 876, 120, 446
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
GCD of numbers is the greatest common divisor
So, the GCD (874, 876, 120, 446) = 2.
Given numbers are 874, 876, 120, 446
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 446 are 2 x 223
The highest common occurrence is 21
Therefore, GCD of 874, 876, 120, 446 is 2.
Given numbers are 874, 876, 120, 446
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 876) = 382812
GCD(874, 876) = ( 874 x 876 ) / 382812
= 874 / 876
= 874
Step2:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
Step3:
LCM(2, 446) = 446
GCD(2, 446) = ( 2 x 446 ) / 446
= 2 / 446
= 2
So, Greatest Common Divisor of 874, 876, 120, 446 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 876, 120, 446
The greatest common divisor of numbers 874, 876, 120, 446 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 876, 120, 446 is 2.
1. What is the GCD of 874, 876, 120, 446?
GCD of given numbers 874, 876, 120, 446 is 2
2. How to calculate the greatest common divisor of 874, 876, 120, 446?
We can find the highest common divisor of 874, 876, 120, 446 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 874, 876, 120, 446 i.e 2.
3. How can I use the GCD of 874, 876, 120, 446Calculator?
Out the numbers 874, 876, 120, 446 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.