Online GCD Calculator is useful to find the GCD of 642, 888, 87, 918 quickly. Get the easiest ways to solve the greatest common divisor of 642, 888, 87, 918 i.e 3 in different methods as follows.
Given Input numbers are 642, 888, 87, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
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 87 :
The positive integer divisors of 87 that completely divides 87 are.
1, 3, 29, 87
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (642, 888, 87, 918) = 3.
Given numbers are 642, 888, 87, 918
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 87 are 3 x 29
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 642, 888, 87, 918 is 3.
Given numbers are 642, 888, 87, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 888) = 95016
GCD(642, 888) = ( 642 x 888 ) / 95016
= 642 / 888
= 642
Step2:
LCM(6, 87) = 174
GCD(6, 87) = ( 6 x 87 ) / 174
= 6 / 87
= 6
Step3:
LCM(3, 918) = 918
GCD(3, 918) = ( 3 x 918 ) / 918
= 3 / 918
= 3
So, Greatest Common Divisor of 642, 888, 87, 918 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 888, 87, 918
The greatest common divisor of numbers 642, 888, 87, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 888, 87, 918 is 3.
1. What is the GCD of 642, 888, 87, 918?
GCD of given numbers 642, 888, 87, 918 is 3
2. How to calculate the greatest common divisor of 642, 888, 87, 918?
We can find the highest common divisor of 642, 888, 87, 918 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 642, 888, 87, 918 i.e 3.
3. How can I use the GCD of 642, 888, 87, 918Calculator?
Out the numbers 642, 888, 87, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.