Online GCD Calculator is useful to find the GCD of 343, 548, 696, 122 quickly. Get the easiest ways to solve the greatest common divisor of 343, 548, 696, 122 i.e 1 in different methods as follows.
Given Input numbers are 343, 548, 696, 122
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 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (343, 548, 696, 122) = 1.
Given numbers are 343, 548, 696, 122
The list of prime factors of all numbers are
Prime factors of 343 are 7 x 7 x 7
Prime factors of 548 are 2 x 2 x 137
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 122 are 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 343, 548, 696, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(343, 548) = 187964
GCD(343, 548) = ( 343 x 548 ) / 187964
= 343 / 548
= 343
Step2:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
Step3:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
So, Greatest Common Divisor of 343, 548, 696, 122 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 343, 548, 696, 122
The greatest common divisor of numbers 343, 548, 696, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 548, 696, 122 is 1.
1. What is the GCD of 343, 548, 696, 122?
GCD of given numbers 343, 548, 696, 122 is 1
2. How to calculate the greatest common divisor of 343, 548, 696, 122?
We can find the highest common divisor of 343, 548, 696, 122 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, 548, 696, 122 i.e 1.
3. How can I use the GCD of 343, 548, 696, 122Calculator?
Out the numbers 343, 548, 696, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.