Online GCD Calculator is useful to find the GCD of 734, 864, 297, 825 quickly. Get the easiest ways to solve the greatest common divisor of 734, 864, 297, 825 i.e 1 in different methods as follows.
Given Input numbers are 734, 864, 297, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (734, 864, 297, 825) = 1.
Given numbers are 734, 864, 297, 825
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 734, 864, 297, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 864) = 317088
GCD(734, 864) = ( 734 x 864 ) / 317088
= 734 / 864
= 734
Step2:
LCM(2, 297) = 594
GCD(2, 297) = ( 2 x 297 ) / 594
= 2 / 297
= 2
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 734, 864, 297, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 864, 297, 825
The greatest common divisor of numbers 734, 864, 297, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 864, 297, 825 is 1.
1. What is the GCD of 734, 864, 297, 825?
GCD of given numbers 734, 864, 297, 825 is 1
2. How to calculate the greatest common divisor of 734, 864, 297, 825?
We can find the highest common divisor of 734, 864, 297, 825 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 734, 864, 297, 825 i.e 1.
3. How can I use the GCD of 734, 864, 297, 825Calculator?
Out the numbers 734, 864, 297, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.