Online GCD Calculator is useful to find the GCD of 876, 936, 746, 102 quickly. Get the easiest ways to solve the greatest common divisor of 876, 936, 746, 102 i.e 2 in different methods as follows.
Given Input numbers are 876, 936, 746, 102
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 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (876, 936, 746, 102) = 2.
Given numbers are 876, 936, 746, 102
The list of prime factors of all numbers are
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 746 are 2 x 373
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 876, 936, 746, 102 is 2.
Given numbers are 876, 936, 746, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(876, 936) = 68328
GCD(876, 936) = ( 876 x 936 ) / 68328
= 876 / 936
= 876
Step2:
LCM(12, 746) = 4476
GCD(12, 746) = ( 12 x 746 ) / 4476
= 12 / 746
= 12
Step3:
LCM(2, 102) = 102
GCD(2, 102) = ( 2 x 102 ) / 102
= 2 / 102
= 2
So, Greatest Common Divisor of 876, 936, 746, 102 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 876, 936, 746, 102
The greatest common divisor of numbers 876, 936, 746, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 936, 746, 102 is 2.
1. What is the GCD of 876, 936, 746, 102?
GCD of given numbers 876, 936, 746, 102 is 2
2. How to calculate the greatest common divisor of 876, 936, 746, 102?
We can find the highest common divisor of 876, 936, 746, 102 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, 936, 746, 102 i.e 2.
3. How can I use the GCD of 876, 936, 746, 102Calculator?
Out the numbers 876, 936, 746, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.