Online GCD Calculator is useful to find the GCD of 708, 870, 876, 981 quickly. Get the easiest ways to solve the greatest common divisor of 708, 870, 876, 981 i.e 3 in different methods as follows.
Given Input numbers are 708, 870, 876, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 876 :
The positive integer divisors of 876 that completely divides 876 are.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (708, 870, 876, 981) = 3.
Given numbers are 708, 870, 876, 981
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 876 are 2 x 2 x 3 x 73
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 708, 870, 876, 981 is 3.
Given numbers are 708, 870, 876, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 870) = 102660
GCD(708, 870) = ( 708 x 870 ) / 102660
= 708 / 870
= 708
Step2:
LCM(6, 876) = 876
GCD(6, 876) = ( 6 x 876 ) / 876
= 6 / 876
= 6
Step3:
LCM(6, 981) = 1962
GCD(6, 981) = ( 6 x 981 ) / 1962
= 6 / 981
= 6
So, Greatest Common Divisor of 708, 870, 876, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 870, 876, 981
The greatest common divisor of numbers 708, 870, 876, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 870, 876, 981 is 3.
1. What is the GCD of 708, 870, 876, 981?
GCD of given numbers 708, 870, 876, 981 is 3
2. How to calculate the greatest common divisor of 708, 870, 876, 981?
We can find the highest common divisor of 708, 870, 876, 981 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 708, 870, 876, 981 i.e 3.
3. How can I use the GCD of 708, 870, 876, 981Calculator?
Out the numbers 708, 870, 876, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.