GCD of 846, 966, 987 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 846, 966, 987 quickly. Get the easiest ways to solve the greatest common divisor of 846, 966, 987 i.e 3 in different methods as follows.
Given Input numbers are 846, 966, 987
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 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (846, 966, 987) = 3.
Given numbers are 846, 966, 987
The list of prime factors of all numbers are
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 31
Therefore, GCD of 846, 966, 987 is 3.
Steps to Calculate GCD of 846, 966, 987 using LCM Formula
Given numbers are 846, 966, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(846, 966) = 136206
GCD(846, 966) = ( 846 x 966 ) / 136206
= 846 / 966
= 846
Step2:
LCM(6, 987) = 1974
GCD(6, 987) = ( 6 x 987 ) / 1974
= 6 / 987
= 6
So, Greatest Common Divisor of 846, 966, 987 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 846, 966, 987
Given numbers are 846, 966, 987
The greatest common divisor of numbers 846, 966, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 966, 987 is 3.
FAQs on GCD of 846, 966, 987 Calculator
1. What is the GCD of 846, 966, 987?
GCD of given numbers 846, 966, 987 is 3
2. How to calculate the greatest common divisor of 846, 966, 987?
We can find the highest common divisor of 846, 966, 987 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, 966, 987 i.e 3.
3. How can I use the GCD of 846, 966, 987Calculator?
Out the numbers 846, 966, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.