Online GCD Calculator is useful to find the GCD of 270, 770, 559, 100 quickly. Get the easiest ways to solve the greatest common divisor of 270, 770, 559, 100 i.e 1 in different methods as follows.
Given Input numbers are 270, 770, 559, 100
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 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (270, 770, 559, 100) = 1.
Given numbers are 270, 770, 559, 100
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 770 are 2 x 5 x 7 x 11
Prime factors of 559 are 13 x 43
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 770, 559, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 770) = 20790
GCD(270, 770) = ( 270 x 770 ) / 20790
= 270 / 770
= 270
Step2:
LCM(10, 559) = 5590
GCD(10, 559) = ( 10 x 559 ) / 5590
= 10 / 559
= 10
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 270, 770, 559, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 770, 559, 100
The greatest common divisor of numbers 270, 770, 559, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 770, 559, 100 is 1.
1. What is the GCD of 270, 770, 559, 100?
GCD of given numbers 270, 770, 559, 100 is 1
2. How to calculate the greatest common divisor of 270, 770, 559, 100?
We can find the highest common divisor of 270, 770, 559, 100 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, 770, 559, 100 i.e 1.
3. How can I use the GCD of 270, 770, 559, 100Calculator?
Out the numbers 270, 770, 559, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.