Online GCD Calculator is useful to find the GCD of 842, 900, 341, 513 quickly. Get the easiest ways to solve the greatest common divisor of 842, 900, 341, 513 i.e 1 in different methods as follows.
Given Input numbers are 842, 900, 341, 513
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 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
GCD of numbers is the greatest common divisor
So, the GCD (842, 900, 341, 513) = 1.
Given numbers are 842, 900, 341, 513
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 341 are 11 x 31
Prime factors of 513 are 3 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 842, 900, 341, 513
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 900) = 378900
GCD(842, 900) = ( 842 x 900 ) / 378900
= 842 / 900
= 842
Step2:
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
= 2 / 341
= 2
Step3:
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
= 1 / 513
= 1
So, Greatest Common Divisor of 842, 900, 341, 513 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 900, 341, 513
The greatest common divisor of numbers 842, 900, 341, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 900, 341, 513 is 1.
1. What is the GCD of 842, 900, 341, 513?
GCD of given numbers 842, 900, 341, 513 is 1
2. How to calculate the greatest common divisor of 842, 900, 341, 513?
We can find the highest common divisor of 842, 900, 341, 513 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, 900, 341, 513 i.e 1.
3. How can I use the GCD of 842, 900, 341, 513Calculator?
Out the numbers 842, 900, 341, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.