Online GCD Calculator is useful to find the GCD of 355, 735, 369, 705 quickly. Get the easiest ways to solve the greatest common divisor of 355, 735, 369, 705 i.e 1 in different methods as follows.
Given Input numbers are 355, 735, 369, 705
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 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (355, 735, 369, 705) = 1.
Given numbers are 355, 735, 369, 705
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 369 are 3 x 3 x 41
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 355, 735, 369, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 735) = 52185
GCD(355, 735) = ( 355 x 735 ) / 52185
= 355 / 735
= 355
Step2:
LCM(5, 369) = 1845
GCD(5, 369) = ( 5 x 369 ) / 1845
= 5 / 369
= 5
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 355, 735, 369, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 735, 369, 705
The greatest common divisor of numbers 355, 735, 369, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 735, 369, 705 is 1.
1. What is the GCD of 355, 735, 369, 705?
GCD of given numbers 355, 735, 369, 705 is 1
2. How to calculate the greatest common divisor of 355, 735, 369, 705?
We can find the highest common divisor of 355, 735, 369, 705 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, 735, 369, 705 i.e 1.
3. How can I use the GCD of 355, 735, 369, 705Calculator?
Out the numbers 355, 735, 369, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.