Online GCD Calculator is useful to find the GCD of 888, 762, 854, 132 quickly. Get the easiest ways to solve the greatest common divisor of 888, 762, 854, 132 i.e 2 in different methods as follows.
Given Input numbers are 888, 762, 854, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (888, 762, 854, 132) = 2.
Given numbers are 888, 762, 854, 132
The list of prime factors of all numbers are
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 762 are 2 x 3 x 127
Prime factors of 854 are 2 x 7 x 61
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 888, 762, 854, 132 is 2.
Given numbers are 888, 762, 854, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(888, 762) = 112776
GCD(888, 762) = ( 888 x 762 ) / 112776
= 888 / 762
= 888
Step2:
LCM(6, 854) = 2562
GCD(6, 854) = ( 6 x 854 ) / 2562
= 6 / 854
= 6
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 888, 762, 854, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 888, 762, 854, 132
The greatest common divisor of numbers 888, 762, 854, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 762, 854, 132 is 2.
1. What is the GCD of 888, 762, 854, 132?
GCD of given numbers 888, 762, 854, 132 is 2
2. How to calculate the greatest common divisor of 888, 762, 854, 132?
We can find the highest common divisor of 888, 762, 854, 132 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 888, 762, 854, 132 i.e 2.
3. How can I use the GCD of 888, 762, 854, 132Calculator?
Out the numbers 888, 762, 854, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.