Online GCD Calculator is useful to find the GCD of 846, 987, 961, 312 quickly. Get the easiest ways to solve the greatest common divisor of 846, 987, 961, 312 i.e 1 in different methods as follows.
Given Input numbers are 846, 987, 961, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (846, 987, 961, 312) = 1.
Given numbers are 846, 987, 961, 312
The list of prime factors of all numbers are
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 987 are 3 x 7 x 47
Prime factors of 961 are 31 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 846, 987, 961, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(846, 987) = 5922
GCD(846, 987) = ( 846 x 987 ) / 5922
= 846 / 987
= 846
Step2:
LCM(141, 961) = 135501
GCD(141, 961) = ( 141 x 961 ) / 135501
= 141 / 961
= 141
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 846, 987, 961, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 846, 987, 961, 312
The greatest common divisor of numbers 846, 987, 961, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 987, 961, 312 is 1.
1. What is the GCD of 846, 987, 961, 312?
GCD of given numbers 846, 987, 961, 312 is 1
2. How to calculate the greatest common divisor of 846, 987, 961, 312?
We can find the highest common divisor of 846, 987, 961, 312 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 846, 987, 961, 312 i.e 1.
3. How can I use the GCD of 846, 987, 961, 312Calculator?
Out the numbers 846, 987, 961, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.