Online GCD Calculator is useful to find the GCD of 270, 818, 668, 700 quickly. Get the easiest ways to solve the greatest common divisor of 270, 818, 668, 700 i.e 2 in different methods as follows.
Given Input numbers are 270, 818, 668, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
GCD of numbers is the greatest common divisor
So, the GCD (270, 818, 668, 700) = 2.
Given numbers are 270, 818, 668, 700
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 818 are 2 x 409
Prime factors of 668 are 2 x 2 x 167
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 270, 818, 668, 700 is 2.
Given numbers are 270, 818, 668, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 818) = 110430
GCD(270, 818) = ( 270 x 818 ) / 110430
= 270 / 818
= 270
Step2:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
Step3:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
So, Greatest Common Divisor of 270, 818, 668, 700 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 818, 668, 700
The greatest common divisor of numbers 270, 818, 668, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 818, 668, 700 is 2.
1. What is the GCD of 270, 818, 668, 700?
GCD of given numbers 270, 818, 668, 700 is 2
2. How to calculate the greatest common divisor of 270, 818, 668, 700?
We can find the highest common divisor of 270, 818, 668, 700 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 270, 818, 668, 700 i.e 2.
3. How can I use the GCD of 270, 818, 668, 700Calculator?
Out the numbers 270, 818, 668, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.