Online GCD Calculator is useful to find the GCD of 920, 312, 725, 726 quickly. Get the easiest ways to solve the greatest common divisor of 920, 312, 725, 726 i.e 1 in different methods as follows.
Given Input numbers are 920, 312, 725, 726
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
GCD of numbers is the greatest common divisor
So, the GCD (920, 312, 725, 726) = 1.
Given numbers are 920, 312, 725, 726
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 725 are 5 x 5 x 29
Prime factors of 726 are 2 x 3 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 920, 312, 725, 726
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 312) = 35880
GCD(920, 312) = ( 920 x 312 ) / 35880
= 920 / 312
= 920
Step2:
LCM(8, 725) = 5800
GCD(8, 725) = ( 8 x 725 ) / 5800
= 8 / 725
= 8
Step3:
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
= 1 / 726
= 1
So, Greatest Common Divisor of 920, 312, 725, 726 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 312, 725, 726
The greatest common divisor of numbers 920, 312, 725, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 312, 725, 726 is 1.
1. What is the GCD of 920, 312, 725, 726?
GCD of given numbers 920, 312, 725, 726 is 1
2. How to calculate the greatest common divisor of 920, 312, 725, 726?
We can find the highest common divisor of 920, 312, 725, 726 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 920, 312, 725, 726 i.e 1.
3. How can I use the GCD of 920, 312, 725, 726Calculator?
Out the numbers 920, 312, 725, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.