Online GCD Calculator is useful to find the GCD of 735, 168, 513, 358 quickly. Get the easiest ways to solve the greatest common divisor of 735, 168, 513, 358 i.e 1 in different methods as follows.
Given Input numbers are 735, 168, 513, 358
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (735, 168, 513, 358) = 1.
Given numbers are 735, 168, 513, 358
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 358 are 2 x 179
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 168, 513, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 168) = 5880
GCD(735, 168) = ( 735 x 168 ) / 5880
= 735 / 168
= 735
Step2:
LCM(21, 513) = 3591
GCD(21, 513) = ( 21 x 513 ) / 3591
= 21 / 513
= 21
Step3:
LCM(3, 358) = 1074
GCD(3, 358) = ( 3 x 358 ) / 1074
= 3 / 358
= 3
So, Greatest Common Divisor of 735, 168, 513, 358 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 168, 513, 358
The greatest common divisor of numbers 735, 168, 513, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 168, 513, 358 is 1.
1. What is the GCD of 735, 168, 513, 358?
GCD of given numbers 735, 168, 513, 358 is 1
2. How to calculate the greatest common divisor of 735, 168, 513, 358?
We can find the highest common divisor of 735, 168, 513, 358 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, 168, 513, 358 i.e 1.
3. How can I use the GCD of 735, 168, 513, 358Calculator?
Out the numbers 735, 168, 513, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.