Online GCD Calculator is useful to find the GCD of 828, 142, 520, 925 quickly. Get the easiest ways to solve the greatest common divisor of 828, 142, 520, 925 i.e 1 in different methods as follows.
Given Input numbers are 828, 142, 520, 925
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
GCD of numbers is the greatest common divisor
So, the GCD (828, 142, 520, 925) = 1.
Given numbers are 828, 142, 520, 925
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 142 are 2 x 71
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 925 are 5 x 5 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 142, 520, 925
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 142) = 58788
GCD(828, 142) = ( 828 x 142 ) / 58788
= 828 / 142
= 828
Step2:
LCM(2, 520) = 520
GCD(2, 520) = ( 2 x 520 ) / 520
= 2 / 520
= 2
Step3:
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
= 2 / 925
= 2
So, Greatest Common Divisor of 828, 142, 520, 925 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 142, 520, 925
The greatest common divisor of numbers 828, 142, 520, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 142, 520, 925 is 1.
1. What is the GCD of 828, 142, 520, 925?
GCD of given numbers 828, 142, 520, 925 is 1
2. How to calculate the greatest common divisor of 828, 142, 520, 925?
We can find the highest common divisor of 828, 142, 520, 925 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 828, 142, 520, 925 i.e 1.
3. How can I use the GCD of 828, 142, 520, 925Calculator?
Out the numbers 828, 142, 520, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.