Online GCD Calculator is useful to find the GCD of 876, 120, 632, 442 quickly. Get the easiest ways to solve the greatest common divisor of 876, 120, 632, 442 i.e 2 in different methods as follows.
Given Input numbers are 876, 120, 632, 442
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 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 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (876, 120, 632, 442) = 2.
Given numbers are 876, 120, 632, 442
The list of prime factors of all numbers are
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 632 are 2 x 2 x 2 x 79
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 876, 120, 632, 442 is 2.
Given numbers are 876, 120, 632, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 120) = 8760
GCD(876, 120) = ( 876 x 120 ) / 8760
= 876 / 120
= 876
Step2:
LCM(12, 632) = 1896
GCD(12, 632) = ( 12 x 632 ) / 1896
= 12 / 632
= 12
Step3:
LCM(4, 442) = 884
GCD(4, 442) = ( 4 x 442 ) / 884
= 4 / 442
= 4
So, Greatest Common Divisor of 876, 120, 632, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 876, 120, 632, 442
The greatest common divisor of numbers 876, 120, 632, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 120, 632, 442 is 2.
1. What is the GCD of 876, 120, 632, 442?
GCD of given numbers 876, 120, 632, 442 is 2
2. How to calculate the greatest common divisor of 876, 120, 632, 442?
We can find the highest common divisor of 876, 120, 632, 442 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, 120, 632, 442 i.e 2.
3. How can I use the GCD of 876, 120, 632, 442Calculator?
Out the numbers 876, 120, 632, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.