Online GCD Calculator is useful to find the GCD of 981, 138, 638, 688 quickly. Get the easiest ways to solve the greatest common divisor of 981, 138, 638, 688 i.e 1 in different methods as follows.
Given Input numbers are 981, 138, 638, 688
In the factoring method, we have to find the divisors of all numbers
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
GCD of numbers is the greatest common divisor
So, the GCD (981, 138, 638, 688) = 1.
Given numbers are 981, 138, 638, 688
The list of prime factors of all numbers are
Prime factors of 981 are 3 x 3 x 109
Prime factors of 138 are 2 x 3 x 23
Prime factors of 638 are 2 x 11 x 29
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 981, 138, 638, 688
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(981, 138) = 45126
GCD(981, 138) = ( 981 x 138 ) / 45126
= 981 / 138
= 981
Step2:
LCM(3, 638) = 1914
GCD(3, 638) = ( 3 x 638 ) / 1914
= 3 / 638
= 3
Step3:
LCM(1, 688) = 688
GCD(1, 688) = ( 1 x 688 ) / 688
= 1 / 688
= 1
So, Greatest Common Divisor of 981, 138, 638, 688 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 981, 138, 638, 688
The greatest common divisor of numbers 981, 138, 638, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 138, 638, 688 is 1.
1. What is the GCD of 981, 138, 638, 688?
GCD of given numbers 981, 138, 638, 688 is 1
2. How to calculate the greatest common divisor of 981, 138, 638, 688?
We can find the highest common divisor of 981, 138, 638, 688 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 981, 138, 638, 688 i.e 1.
3. How can I use the GCD of 981, 138, 638, 688Calculator?
Out the numbers 981, 138, 638, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.