Online GCD Calculator is useful to find the GCD of 861, 889, 658 quickly. Get the easiest ways to solve the greatest common divisor of 861, 889, 658 i.e 7 in different methods as follows.
Given Input numbers are 861, 889, 658
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 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
GCD of numbers is the greatest common divisor
So, the GCD (861, 889, 658) = 7.
Given numbers are 861, 889, 658
The list of prime factors of all numbers are
Prime factors of 861 are 3 x 7 x 41
Prime factors of 889 are 7 x 127
Prime factors of 658 are 2 x 7 x 47
The highest common occurrence is 71
Therefore, GCD of 861, 889, 658 is 7.
Given numbers are 861, 889, 658
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(861, 889) = 109347
GCD(861, 889) = ( 861 x 889 ) / 109347
= 861 / 889
= 861
Step2:
LCM(7, 658) = 658
GCD(7, 658) = ( 7 x 658 ) / 658
= 7 / 658
= 7
So, Greatest Common Divisor of 861, 889, 658 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 861, 889, 658
The greatest common divisor of numbers 861, 889, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 889, 658 is 7.
1. What is the GCD of 861, 889, 658?
GCD of given numbers 861, 889, 658 is 7
2. How to calculate the greatest common divisor of 861, 889, 658?
We can find the highest common divisor of 861, 889, 658 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, 889, 658 i.e 7.
3. How can I use the GCD of 861, 889, 658Calculator?
Out the numbers 861, 889, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.