Online GCD Calculator is useful to find the GCD of 362, 650, 10, 997 quickly. Get the easiest ways to solve the greatest common divisor of 362, 650, 10, 997 i.e 1 in different methods as follows.
Given Input numbers are 362, 650, 10, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 10 :
The positive integer divisors of 10 that completely divides 10 are.
1, 2, 5, 10
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (362, 650, 10, 997) = 1.
Given numbers are 362, 650, 10, 997
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 10 are 2 x 5
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 362, 650, 10, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 650) = 117650
GCD(362, 650) = ( 362 x 650 ) / 117650
= 362 / 650
= 362
Step2:
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
= 2 / 10
= 2
Step3:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
So, Greatest Common Divisor of 362, 650, 10, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 650, 10, 997
The greatest common divisor of numbers 362, 650, 10, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 650, 10, 997 is 1.
1. What is the GCD of 362, 650, 10, 997?
GCD of given numbers 362, 650, 10, 997 is 1
2. How to calculate the greatest common divisor of 362, 650, 10, 997?
We can find the highest common divisor of 362, 650, 10, 997 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 362, 650, 10, 997 i.e 1.
3. How can I use the GCD of 362, 650, 10, 997Calculator?
Out the numbers 362, 650, 10, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.