Online GCD Calculator is useful to find the GCD of 842, 312, 456, 925 quickly. Get the easiest ways to solve the greatest common divisor of 842, 312, 456, 925 i.e 1 in different methods as follows.
Given Input numbers are 842, 312, 456, 925
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 (842, 312, 456, 925) = 1.
Given numbers are 842, 312, 456, 925
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
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 842, 312, 456, 925
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 312) = 131352
GCD(842, 312) = ( 842 x 312 ) / 131352
= 842 / 312
= 842
Step2:
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
= 2 / 456
= 2
Step3:
LCM(2, 925) = 1850
GCD(2, 925) = ( 2 x 925 ) / 1850
= 2 / 925
= 2
So, Greatest Common Divisor of 842, 312, 456, 925 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 312, 456, 925
The greatest common divisor of numbers 842, 312, 456, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 312, 456, 925 is 1.
1. What is the GCD of 842, 312, 456, 925?
GCD of given numbers 842, 312, 456, 925 is 1
2. How to calculate the greatest common divisor of 842, 312, 456, 925?
We can find the highest common divisor of 842, 312, 456, 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 842, 312, 456, 925 i.e 1.
3. How can I use the GCD of 842, 312, 456, 925Calculator?
Out the numbers 842, 312, 456, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.