Online GCD Calculator is useful to find the GCD of 861, 480, 147, 981 quickly. Get the easiest ways to solve the greatest common divisor of 861, 480, 147, 981 i.e 3 in different methods as follows.
Given Input numbers are 861, 480, 147, 981
In the factoring method, we have to find the divisors of all numbers
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
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 (861, 480, 147, 981) = 3.
Given numbers are 861, 480, 147, 981
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 147 are 3 x 7 x 7
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 861, 480, 147, 981 is 3.
Given numbers are 861, 480, 147, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 480) = 137760
GCD(861, 480) = ( 861 x 480 ) / 137760
= 861 / 480
= 861
Step2:
LCM(3, 147) = 147
GCD(3, 147) = ( 3 x 147 ) / 147
= 3 / 147
= 3
Step3:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
So, Greatest Common Divisor of 861, 480, 147, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 480, 147, 981
The greatest common divisor of numbers 861, 480, 147, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 480, 147, 981 is 3.
1. What is the GCD of 861, 480, 147, 981?
GCD of given numbers 861, 480, 147, 981 is 3
2. How to calculate the greatest common divisor of 861, 480, 147, 981?
We can find the highest common divisor of 861, 480, 147, 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 861, 480, 147, 981 i.e 3.
3. How can I use the GCD of 861, 480, 147, 981Calculator?
Out the numbers 861, 480, 147, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.