Online GCD Calculator is useful to find the GCD of 989, 497, 674, 288 quickly. Get the easiest ways to solve the greatest common divisor of 989, 497, 674, 288 i.e 1 in different methods as follows.
Given Input numbers are 989, 497, 674, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (989, 497, 674, 288) = 1.
Given numbers are 989, 497, 674, 288
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 497 are 7 x 71
Prime factors of 674 are 2 x 337
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 989, 497, 674, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 497) = 491533
GCD(989, 497) = ( 989 x 497 ) / 491533
= 989 / 497
= 989
Step2:
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
= 1 / 674
= 1
Step3:
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
= 1 / 288
= 1
So, Greatest Common Divisor of 989, 497, 674, 288 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 989, 497, 674, 288
The greatest common divisor of numbers 989, 497, 674, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 497, 674, 288 is 1.
1. What is the GCD of 989, 497, 674, 288?
GCD of given numbers 989, 497, 674, 288 is 1
2. How to calculate the greatest common divisor of 989, 497, 674, 288?
We can find the highest common divisor of 989, 497, 674, 288 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 989, 497, 674, 288 i.e 1.
3. How can I use the GCD of 989, 497, 674, 288Calculator?
Out the numbers 989, 497, 674, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.