Online GCD Calculator is useful to find the GCD of 756, 306, 820, 725 quickly. Get the easiest ways to solve the greatest common divisor of 756, 306, 820, 725 i.e 1 in different methods as follows.
Given Input numbers are 756, 306, 820, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (756, 306, 820, 725) = 1.
Given numbers are 756, 306, 820, 725
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 725 are 5 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 306, 820, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 306) = 12852
GCD(756, 306) = ( 756 x 306 ) / 12852
= 756 / 306
= 756
Step2:
LCM(18, 820) = 7380
GCD(18, 820) = ( 18 x 820 ) / 7380
= 18 / 820
= 18
Step3:
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
= 2 / 725
= 2
So, Greatest Common Divisor of 756, 306, 820, 725 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 306, 820, 725
The greatest common divisor of numbers 756, 306, 820, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 306, 820, 725 is 1.
1. What is the GCD of 756, 306, 820, 725?
GCD of given numbers 756, 306, 820, 725 is 1
2. How to calculate the greatest common divisor of 756, 306, 820, 725?
We can find the highest common divisor of 756, 306, 820, 725 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 756, 306, 820, 725 i.e 1.
3. How can I use the GCD of 756, 306, 820, 725Calculator?
Out the numbers 756, 306, 820, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.