Online GCD Calculator is useful to find the GCD of 990, 497, 692, 898 quickly. Get the easiest ways to solve the greatest common divisor of 990, 497, 692, 898 i.e 1 in different methods as follows.
Given Input numbers are 990, 497, 692, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (990, 497, 692, 898) = 1.
Given numbers are 990, 497, 692, 898
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 497 are 7 x 71
Prime factors of 692 are 2 x 2 x 173
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 497, 692, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 497) = 492030
GCD(990, 497) = ( 990 x 497 ) / 492030
= 990 / 497
= 990
Step2:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
Step3:
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
= 1 / 898
= 1
So, Greatest Common Divisor of 990, 497, 692, 898 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 497, 692, 898
The greatest common divisor of numbers 990, 497, 692, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 497, 692, 898 is 1.
1. What is the GCD of 990, 497, 692, 898?
GCD of given numbers 990, 497, 692, 898 is 1
2. How to calculate the greatest common divisor of 990, 497, 692, 898?
We can find the highest common divisor of 990, 497, 692, 898 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 990, 497, 692, 898 i.e 1.
3. How can I use the GCD of 990, 497, 692, 898Calculator?
Out the numbers 990, 497, 692, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.