Online GCD Calculator is useful to find the GCD of 981, 702, 642, 939 quickly. Get the easiest ways to solve the greatest common divisor of 981, 702, 642, 939 i.e 3 in different methods as follows.
Given Input numbers are 981, 702, 642, 939
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 939 :
The positive integer divisors of 939 that completely divides 939 are.
1, 3, 313, 939
GCD of numbers is the greatest common divisor
So, the GCD (981, 702, 642, 939) = 3.
Given numbers are 981, 702, 642, 939
The list of prime factors of all numbers are
Prime factors of 981 are 3 x 3 x 109
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 642 are 2 x 3 x 107
Prime factors of 939 are 3 x 313
The highest common occurrence is 31
Therefore, GCD of 981, 702, 642, 939 is 3.
Given numbers are 981, 702, 642, 939
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(981, 702) = 76518
GCD(981, 702) = ( 981 x 702 ) / 76518
= 981 / 702
= 981
Step2:
LCM(9, 642) = 1926
GCD(9, 642) = ( 9 x 642 ) / 1926
= 9 / 642
= 9
Step3:
LCM(3, 939) = 939
GCD(3, 939) = ( 3 x 939 ) / 939
= 3 / 939
= 3
So, Greatest Common Divisor of 981, 702, 642, 939 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 981, 702, 642, 939
The greatest common divisor of numbers 981, 702, 642, 939 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 702, 642, 939 is 3.
1. What is the GCD of 981, 702, 642, 939?
GCD of given numbers 981, 702, 642, 939 is 3
2. How to calculate the greatest common divisor of 981, 702, 642, 939?
We can find the highest common divisor of 981, 702, 642, 939 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, 702, 642, 939 i.e 3.
3. How can I use the GCD of 981, 702, 642, 939Calculator?
Out the numbers 981, 702, 642, 939 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.