Online GCD Calculator is useful to find the GCD of 920, 425, 584, 828 quickly. Get the easiest ways to solve the greatest common divisor of 920, 425, 584, 828 i.e 1 in different methods as follows.
Given Input numbers are 920, 425, 584, 828
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 425 :
The positive integer divisors of 425 that completely divides 425 are.
1, 5, 17, 25, 85, 425
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (920, 425, 584, 828) = 1.
Given numbers are 920, 425, 584, 828
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 425 are 5 x 5 x 17
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 920, 425, 584, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 425) = 78200
GCD(920, 425) = ( 920 x 425 ) / 78200
= 920 / 425
= 920
Step2:
LCM(5, 584) = 2920
GCD(5, 584) = ( 5 x 584 ) / 2920
= 5 / 584
= 5
Step3:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
So, Greatest Common Divisor of 920, 425, 584, 828 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 425, 584, 828
The greatest common divisor of numbers 920, 425, 584, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 425, 584, 828 is 1.
1. What is the GCD of 920, 425, 584, 828?
GCD of given numbers 920, 425, 584, 828 is 1
2. How to calculate the greatest common divisor of 920, 425, 584, 828?
We can find the highest common divisor of 920, 425, 584, 828 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, 425, 584, 828 i.e 1.
3. How can I use the GCD of 920, 425, 584, 828Calculator?
Out the numbers 920, 425, 584, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.