Online GCD Calculator is useful to find the GCD of 876, 908, 574, 542 quickly. Get the easiest ways to solve the greatest common divisor of 876, 908, 574, 542 i.e 2 in different methods as follows.
Given Input numbers are 876, 908, 574, 542
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 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
GCD of numbers is the greatest common divisor
So, the GCD (876, 908, 574, 542) = 2.
Given numbers are 876, 908, 574, 542
The list of prime factors of all numbers are
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 908 are 2 x 2 x 227
Prime factors of 574 are 2 x 7 x 41
Prime factors of 542 are 2 x 271
The highest common occurrence is 21
Therefore, GCD of 876, 908, 574, 542 is 2.
Given numbers are 876, 908, 574, 542
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 908) = 198852
GCD(876, 908) = ( 876 x 908 ) / 198852
= 876 / 908
= 876
Step2:
LCM(4, 574) = 1148
GCD(4, 574) = ( 4 x 574 ) / 1148
= 4 / 574
= 4
Step3:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
So, Greatest Common Divisor of 876, 908, 574, 542 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 876, 908, 574, 542
The greatest common divisor of numbers 876, 908, 574, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 908, 574, 542 is 2.
1. What is the GCD of 876, 908, 574, 542?
GCD of given numbers 876, 908, 574, 542 is 2
2. How to calculate the greatest common divisor of 876, 908, 574, 542?
We can find the highest common divisor of 876, 908, 574, 542 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, 908, 574, 542 i.e 2.
3. How can I use the GCD of 876, 908, 574, 542Calculator?
Out the numbers 876, 908, 574, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.