Online GCD Calculator is useful to find the GCD of 358, 140, 144, 317 quickly. Get the easiest ways to solve the greatest common divisor of 358, 140, 144, 317 i.e 1 in different methods as follows.
Given Input numbers are 358, 140, 144, 317
In the factoring method, we have to find the divisors of all numbers
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
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 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
GCD of numbers is the greatest common divisor
So, the GCD (358, 140, 144, 317) = 1.
Given numbers are 358, 140, 144, 317
The list of prime factors of all numbers are
Prime factors of 358 are 2 x 179
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 317 are 317
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 358, 140, 144, 317
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(358, 140) = 25060
GCD(358, 140) = ( 358 x 140 ) / 25060
= 358 / 140
= 358
Step2:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
Step3:
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
= 2 / 317
= 2
So, Greatest Common Divisor of 358, 140, 144, 317 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 358, 140, 144, 317
The greatest common divisor of numbers 358, 140, 144, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 140, 144, 317 is 1.
1. What is the GCD of 358, 140, 144, 317?
GCD of given numbers 358, 140, 144, 317 is 1
2. How to calculate the greatest common divisor of 358, 140, 144, 317?
We can find the highest common divisor of 358, 140, 144, 317 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 358, 140, 144, 317 i.e 1.
3. How can I use the GCD of 358, 140, 144, 317Calculator?
Out the numbers 358, 140, 144, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.