GCD of 506, 748, 682 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 506, 748, 682 quickly. Get the easiest ways to solve the greatest common divisor of 506, 748, 682 i.e 22 in different methods as follows.
Given Input numbers are 506, 748, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (506, 748, 682) = 22.
Given numbers are 506, 748, 682
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 111 x 21
Therefore, GCD of 506, 748, 682 is 22.
Steps to Calculate GCD of 506, 748, 682 using LCM Formula
Given numbers are 506, 748, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 748) = 17204
GCD(506, 748) = ( 506 x 748 ) / 17204
= 506 / 748
= 506
Step2:
LCM(22, 682) = 682
GCD(22, 682) = ( 22 x 682 ) / 682
= 22 / 682
= 22
So, Greatest Common Divisor of 506, 748, 682 is 22
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 506, 748, 682
Given numbers are 506, 748, 682
The greatest common divisor of numbers 506, 748, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 748, 682 is 22.
FAQs on GCD of 506, 748, 682 Calculator
1. What is the GCD of 506, 748, 682?
GCD of given numbers 506, 748, 682 is 22
2. How to calculate the greatest common divisor of 506, 748, 682?
We can find the highest common divisor of 506, 748, 682 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 506, 748, 682 i.e 22.
3. How can I use the GCD of 506, 748, 682Calculator?
Out the numbers 506, 748, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.