Online GCD Calculator is useful to find the GCD of 208, 140, 559, 117 quickly. Get the easiest ways to solve the greatest common divisor of 208, 140, 559, 117 i.e 1 in different methods as follows.
Given Input numbers are 208, 140, 559, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 559 :
The positive integer divisors of 559 that completely divides 559 are.
1, 13, 43, 559
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (208, 140, 559, 117) = 1.
Given numbers are 208, 140, 559, 117
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 559 are 13 x 43
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 208, 140, 559, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 140) = 7280
GCD(208, 140) = ( 208 x 140 ) / 7280
= 208 / 140
= 208
Step2:
LCM(4, 559) = 2236
GCD(4, 559) = ( 4 x 559 ) / 2236
= 4 / 559
= 4
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 208, 140, 559, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 140, 559, 117
The greatest common divisor of numbers 208, 140, 559, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 140, 559, 117 is 1.
1. What is the GCD of 208, 140, 559, 117?
GCD of given numbers 208, 140, 559, 117 is 1
2. How to calculate the greatest common divisor of 208, 140, 559, 117?
We can find the highest common divisor of 208, 140, 559, 117 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 208, 140, 559, 117 i.e 1.
3. How can I use the GCD of 208, 140, 559, 117Calculator?
Out the numbers 208, 140, 559, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.