GCD of 343, 490, 791, 921 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 343, 490, 791, 921 quickly. Get the easiest ways to solve the greatest common divisor of 343, 490, 791, 921 i.e 1 in different methods as follows.
Given Input numbers are 343, 490, 791, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (343, 490, 791, 921) = 1.
Given numbers are 343, 490, 791, 921
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 791 are 7 x 113
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 343, 490, 791, 921 using LCM Formula
Given numbers are 343, 490, 791, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 490) = 3430
GCD(343, 490) = ( 343 x 490 ) / 3430
= 343 / 490
= 343
Step2:
LCM(49, 791) = 5537
GCD(49, 791) = ( 49 x 791 ) / 5537
= 49 / 791
= 49
Step3:
LCM(7, 921) = 6447
GCD(7, 921) = ( 7 x 921 ) / 6447
= 7 / 921
= 7
So, Greatest Common Divisor of 343, 490, 791, 921 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 343, 490, 791, 921
Given numbers are 343, 490, 791, 921
The greatest common divisor of numbers 343, 490, 791, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 490, 791, 921 is 1.
FAQs on GCD of 343, 490, 791, 921 Calculator
1. What is the GCD of 343, 490, 791, 921?
GCD of given numbers 343, 490, 791, 921 is 1
2. How to calculate the greatest common divisor of 343, 490, 791, 921?
We can find the highest common divisor of 343, 490, 791, 921 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 343, 490, 791, 921 i.e 1.
3. How can I use the GCD of 343, 490, 791, 921Calculator?
Out the numbers 343, 490, 791, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.