Online GCD Calculator is useful to find the GCD of 735, 345, 130, 291 quickly. Get the easiest ways to solve the greatest common divisor of 735, 345, 130, 291 i.e 1 in different methods as follows.
Given Input numbers are 735, 345, 130, 291
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 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
GCD of numbers is the greatest common divisor
So, the GCD (735, 345, 130, 291) = 1.
Given numbers are 735, 345, 130, 291
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 345 are 3 x 5 x 23
Prime factors of 130 are 2 x 5 x 13
Prime factors of 291 are 3 x 97
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 345, 130, 291
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 345) = 16905
GCD(735, 345) = ( 735 x 345 ) / 16905
= 735 / 345
= 735
Step2:
LCM(15, 130) = 390
GCD(15, 130) = ( 15 x 130 ) / 390
= 15 / 130
= 15
Step3:
LCM(5, 291) = 1455
GCD(5, 291) = ( 5 x 291 ) / 1455
= 5 / 291
= 5
So, Greatest Common Divisor of 735, 345, 130, 291 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 345, 130, 291
The greatest common divisor of numbers 735, 345, 130, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 345, 130, 291 is 1.
1. What is the GCD of 735, 345, 130, 291?
GCD of given numbers 735, 345, 130, 291 is 1
2. How to calculate the greatest common divisor of 735, 345, 130, 291?
We can find the highest common divisor of 735, 345, 130, 291 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, 345, 130, 291 i.e 1.
3. How can I use the GCD of 735, 345, 130, 291Calculator?
Out the numbers 735, 345, 130, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.