GCD of 821, 343, 761, 909 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 821, 343, 761, 909 quickly. Get the easiest ways to solve the greatest common divisor of 821, 343, 761, 909 i.e 1 in different methods as follows.
Given Input numbers are 821, 343, 761, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (821, 343, 761, 909) = 1.
Given numbers are 821, 343, 761, 909
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 343 are 7 x 7 x 7
Prime factors of 761 are 761
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 821, 343, 761, 909 using LCM Formula
Given numbers are 821, 343, 761, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 343) = 281603
GCD(821, 343) = ( 821 x 343 ) / 281603
= 821 / 343
= 821
Step2:
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
= 1 / 761
= 1
Step3:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 821, 343, 761, 909 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 821, 343, 761, 909
Given numbers are 821, 343, 761, 909
The greatest common divisor of numbers 821, 343, 761, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 343, 761, 909 is 1.
FAQs on GCD of 821, 343, 761, 909 Calculator
1. What is the GCD of 821, 343, 761, 909?
GCD of given numbers 821, 343, 761, 909 is 1
2. How to calculate the greatest common divisor of 821, 343, 761, 909?
We can find the highest common divisor of 821, 343, 761, 909 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 821, 343, 761, 909 i.e 1.
3. How can I use the GCD of 821, 343, 761, 909Calculator?
Out the numbers 821, 343, 761, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.