Online GCD Calculator is useful to find the GCD of 821, 420, 925, 892 quickly. Get the easiest ways to solve the greatest common divisor of 821, 420, 925, 892 i.e 1 in different methods as follows.
Given Input numbers are 821, 420, 925, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (821, 420, 925, 892) = 1.
Given numbers are 821, 420, 925, 892
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 925 are 5 x 5 x 37
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 420, 925, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 420) = 344820
GCD(821, 420) = ( 821 x 420 ) / 344820
= 821 / 420
= 821
Step2:
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
= 1 / 925
= 1
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 821, 420, 925, 892 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 420, 925, 892
The greatest common divisor of numbers 821, 420, 925, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 420, 925, 892 is 1.
1. What is the GCD of 821, 420, 925, 892?
GCD of given numbers 821, 420, 925, 892 is 1
2. How to calculate the greatest common divisor of 821, 420, 925, 892?
We can find the highest common divisor of 821, 420, 925, 892 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 821, 420, 925, 892 i.e 1.
3. How can I use the GCD of 821, 420, 925, 892Calculator?
Out the numbers 821, 420, 925, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.