GCD of 823, 438, 707, 428 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 823, 438, 707, 428 quickly. Get the easiest ways to solve the greatest common divisor of 823, 438, 707, 428 i.e 1 in different methods as follows.
Given Input numbers are 823, 438, 707, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 823 :
The positive integer divisors of 823 that completely divides 823 are.
1, 823
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (823, 438, 707, 428) = 1.
Given numbers are 823, 438, 707, 428
The list of prime factors of all numbers are
Prime factors of 823 are 823
Prime factors of 438 are 2 x 3 x 73
Prime factors of 707 are 7 x 101
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 823, 438, 707, 428 using LCM Formula
Given numbers are 823, 438, 707, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(823, 438) = 360474
GCD(823, 438) = ( 823 x 438 ) / 360474
= 823 / 438
= 823
Step2:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 823, 438, 707, 428 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 823, 438, 707, 428
Given numbers are 823, 438, 707, 428
The greatest common divisor of numbers 823, 438, 707, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 438, 707, 428 is 1.
FAQs on GCD of 823, 438, 707, 428 Calculator
1. What is the GCD of 823, 438, 707, 428?
GCD of given numbers 823, 438, 707, 428 is 1
2. How to calculate the greatest common divisor of 823, 438, 707, 428?
We can find the highest common divisor of 823, 438, 707, 428 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 823, 438, 707, 428 i.e 1.
3. How can I use the GCD of 823, 438, 707, 428Calculator?
Out the numbers 823, 438, 707, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.