Online GCD Calculator is useful to find the GCD of 300, 694, 825, 705 quickly. Get the easiest ways to solve the greatest common divisor of 300, 694, 825, 705 i.e 1 in different methods as follows.
Given Input numbers are 300, 694, 825, 705
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
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
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (300, 694, 825, 705) = 1.
Given numbers are 300, 694, 825, 705
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 694 are 2 x 347
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 694, 825, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 694) = 104100
GCD(300, 694) = ( 300 x 694 ) / 104100
= 300 / 694
= 300
Step2:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 300, 694, 825, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 694, 825, 705
The greatest common divisor of numbers 300, 694, 825, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 694, 825, 705 is 1.
1. What is the GCD of 300, 694, 825, 705?
GCD of given numbers 300, 694, 825, 705 is 1
2. How to calculate the greatest common divisor of 300, 694, 825, 705?
We can find the highest common divisor of 300, 694, 825, 705 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 300, 694, 825, 705 i.e 1.
3. How can I use the GCD of 300, 694, 825, 705Calculator?
Out the numbers 300, 694, 825, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.