Online GCD Calculator is useful to find the GCD of 735, 355, 505, 305 quickly. Get the easiest ways to solve the greatest common divisor of 735, 355, 505, 305 i.e 5 in different methods as follows.
Given Input numbers are 735, 355, 505, 305
In the factoring method, we have to find the divisors of all numbers
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 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
GCD of numbers is the greatest common divisor
So, the GCD (735, 355, 505, 305) = 5.
Given numbers are 735, 355, 505, 305
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 355 are 5 x 71
Prime factors of 505 are 5 x 101
Prime factors of 305 are 5 x 61
The highest common occurrence is 51
Therefore, GCD of 735, 355, 505, 305 is 5.
Given numbers are 735, 355, 505, 305
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 355) = 52185
GCD(735, 355) = ( 735 x 355 ) / 52185
= 735 / 355
= 735
Step2:
LCM(5, 505) = 505
GCD(5, 505) = ( 5 x 505 ) / 505
= 5 / 505
= 5
Step3:
LCM(5, 305) = 305
GCD(5, 305) = ( 5 x 305 ) / 305
= 5 / 305
= 5
So, Greatest Common Divisor of 735, 355, 505, 305 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 355, 505, 305
The greatest common divisor of numbers 735, 355, 505, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 355, 505, 305 is 5.
1. What is the GCD of 735, 355, 505, 305?
GCD of given numbers 735, 355, 505, 305 is 5
2. How to calculate the greatest common divisor of 735, 355, 505, 305?
We can find the highest common divisor of 735, 355, 505, 305 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 735, 355, 505, 305 i.e 5.
3. How can I use the GCD of 735, 355, 505, 305Calculator?
Out the numbers 735, 355, 505, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.