Online GCD Calculator is useful to find the GCD of 988, 689, 242, 712 quickly. Get the easiest ways to solve the greatest common divisor of 988, 689, 242, 712 i.e 1 in different methods as follows.
Given Input numbers are 988, 689, 242, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (988, 689, 242, 712) = 1.
Given numbers are 988, 689, 242, 712
The list of prime factors of all numbers are
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 689 are 13 x 53
Prime factors of 242 are 2 x 11 x 11
Prime factors of 712 are 2 x 2 x 2 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 988, 689, 242, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(988, 689) = 52364
GCD(988, 689) = ( 988 x 689 ) / 52364
= 988 / 689
= 988
Step2:
LCM(13, 242) = 3146
GCD(13, 242) = ( 13 x 242 ) / 3146
= 13 / 242
= 13
Step3:
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
= 1 / 712
= 1
So, Greatest Common Divisor of 988, 689, 242, 712 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 988, 689, 242, 712
The greatest common divisor of numbers 988, 689, 242, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 689, 242, 712 is 1.
1. What is the GCD of 988, 689, 242, 712?
GCD of given numbers 988, 689, 242, 712 is 1
2. How to calculate the greatest common divisor of 988, 689, 242, 712?
We can find the highest common divisor of 988, 689, 242, 712 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 988, 689, 242, 712 i.e 1.
3. How can I use the GCD of 988, 689, 242, 712Calculator?
Out the numbers 988, 689, 242, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.