Online GCD Calculator is useful to find the GCD of 735, 898, 164, 320 quickly. Get the easiest ways to solve the greatest common divisor of 735, 898, 164, 320 i.e 1 in different methods as follows.
Given Input numbers are 735, 898, 164, 320
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 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (735, 898, 164, 320) = 1.
Given numbers are 735, 898, 164, 320
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 898 are 2 x 449
Prime factors of 164 are 2 x 2 x 41
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 898, 164, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 898) = 660030
GCD(735, 898) = ( 735 x 898 ) / 660030
= 735 / 898
= 735
Step2:
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
= 1 / 164
= 1
Step3:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
So, Greatest Common Divisor of 735, 898, 164, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 898, 164, 320
The greatest common divisor of numbers 735, 898, 164, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 898, 164, 320 is 1.
1. What is the GCD of 735, 898, 164, 320?
GCD of given numbers 735, 898, 164, 320 is 1
2. How to calculate the greatest common divisor of 735, 898, 164, 320?
We can find the highest common divisor of 735, 898, 164, 320 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, 898, 164, 320 i.e 1.
3. How can I use the GCD of 735, 898, 164, 320Calculator?
Out the numbers 735, 898, 164, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.