Online GCD Calculator is useful to find the GCD of 355, 142, 475, 713 quickly. Get the easiest ways to solve the greatest common divisor of 355, 142, 475, 713 i.e 1 in different methods as follows.
Given Input numbers are 355, 142, 475, 713
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 475 :
The positive integer divisors of 475 that completely divides 475 are.
1, 5, 19, 25, 95, 475
Divisors of 713 :
The positive integer divisors of 713 that completely divides 713 are.
1, 23, 31, 713
GCD of numbers is the greatest common divisor
So, the GCD (355, 142, 475, 713) = 1.
Given numbers are 355, 142, 475, 713
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 142 are 2 x 71
Prime factors of 475 are 5 x 5 x 19
Prime factors of 713 are 23 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 142, 475, 713
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 142) = 710
GCD(355, 142) = ( 355 x 142 ) / 710
= 355 / 142
= 355
Step2:
LCM(71, 475) = 33725
GCD(71, 475) = ( 71 x 475 ) / 33725
= 71 / 475
= 71
Step3:
LCM(1, 713) = 713
GCD(1, 713) = ( 1 x 713 ) / 713
= 1 / 713
= 1
So, Greatest Common Divisor of 355, 142, 475, 713 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 142, 475, 713
The greatest common divisor of numbers 355, 142, 475, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 142, 475, 713 is 1.
1. What is the GCD of 355, 142, 475, 713?
GCD of given numbers 355, 142, 475, 713 is 1
2. How to calculate the greatest common divisor of 355, 142, 475, 713?
We can find the highest common divisor of 355, 142, 475, 713 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 355, 142, 475, 713 i.e 1.
3. How can I use the GCD of 355, 142, 475, 713Calculator?
Out the numbers 355, 142, 475, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.