Online GCD Calculator is useful to find the GCD of 498, 522, 709, 921 quickly. Get the easiest ways to solve the greatest common divisor of 498, 522, 709, 921 i.e 1 in different methods as follows.
Given Input numbers are 498, 522, 709, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
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 (498, 522, 709, 921) = 1.
Given numbers are 498, 522, 709, 921
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 709 are 709
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 522, 709, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 522) = 43326
GCD(498, 522) = ( 498 x 522 ) / 43326
= 498 / 522
= 498
Step2:
LCM(6, 709) = 4254
GCD(6, 709) = ( 6 x 709 ) / 4254
= 6 / 709
= 6
Step3:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
So, Greatest Common Divisor of 498, 522, 709, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 522, 709, 921
The greatest common divisor of numbers 498, 522, 709, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 522, 709, 921 is 1.
1. What is the GCD of 498, 522, 709, 921?
GCD of given numbers 498, 522, 709, 921 is 1
2. How to calculate the greatest common divisor of 498, 522, 709, 921?
We can find the highest common divisor of 498, 522, 709, 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 498, 522, 709, 921 i.e 1.
3. How can I use the GCD of 498, 522, 709, 921Calculator?
Out the numbers 498, 522, 709, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.