GCD of 686, 756, 890 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 686, 756, 890 quickly. Get the easiest ways to solve the greatest common divisor of 686, 756, 890 i.e 2 in different methods as follows.
Given Input numbers are 686, 756, 890
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
GCD of numbers is the greatest common divisor
So, the GCD (686, 756, 890) = 2.
Given numbers are 686, 756, 890
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 890 are 2 x 5 x 89
The highest common occurrence is 21
Therefore, GCD of 686, 756, 890 is 2.
Steps to Calculate GCD of 686, 756, 890 using LCM Formula
Given numbers are 686, 756, 890
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 756) = 37044
GCD(686, 756) = ( 686 x 756 ) / 37044
= 686 / 756
= 686
Step2:
LCM(14, 890) = 6230
GCD(14, 890) = ( 14 x 890 ) / 6230
= 14 / 890
= 14
So, Greatest Common Divisor of 686, 756, 890 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 686, 756, 890
Given numbers are 686, 756, 890
The greatest common divisor of numbers 686, 756, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 756, 890 is 2.
FAQs on GCD of 686, 756, 890 Calculator
1. What is the GCD of 686, 756, 890?
GCD of given numbers 686, 756, 890 is 2
2. How to calculate the greatest common divisor of 686, 756, 890?
We can find the highest common divisor of 686, 756, 890 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 686, 756, 890 i.e 2.
3. How can I use the GCD of 686, 756, 890Calculator?
Out the numbers 686, 756, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.