GCD of 748, 420, 822 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 748, 420, 822 quickly. Get the easiest ways to solve the greatest common divisor of 748, 420, 822 i.e 2 in different methods as follows.
Given Input numbers are 748, 420, 822
In the factoring method, we have to find the divisors of all numbers
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (748, 420, 822) = 2.
Given numbers are 748, 420, 822
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 822 are 2 x 3 x 137
The highest common occurrence is 21
Therefore, GCD of 748, 420, 822 is 2.
Steps to Calculate GCD of 748, 420, 822 using LCM Formula
Given numbers are 748, 420, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 420) = 78540
GCD(748, 420) = ( 748 x 420 ) / 78540
= 748 / 420
= 748
Step2:
LCM(4, 822) = 1644
GCD(4, 822) = ( 4 x 822 ) / 1644
= 4 / 822
= 4
So, Greatest Common Divisor of 748, 420, 822 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 748, 420, 822
Given numbers are 748, 420, 822
The greatest common divisor of numbers 748, 420, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 420, 822 is 2.
FAQs on GCD of 748, 420, 822 Calculator
1. What is the GCD of 748, 420, 822?
GCD of given numbers 748, 420, 822 is 2
2. How to calculate the greatest common divisor of 748, 420, 822?
We can find the highest common divisor of 748, 420, 822 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 748, 420, 822 i.e 2.
3. How can I use the GCD of 748, 420, 822Calculator?
Out the numbers 748, 420, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.