Online GCD Calculator is useful to find the GCD of 354, 548, 331, 689 quickly. Get the easiest ways to solve the greatest common divisor of 354, 548, 331, 689 i.e 1 in different methods as follows.
Given Input numbers are 354, 548, 331, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 331 :
The positive integer divisors of 331 that completely divides 331 are.
1, 331
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (354, 548, 331, 689) = 1.
Given numbers are 354, 548, 331, 689
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 548 are 2 x 2 x 137
Prime factors of 331 are 331
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 354, 548, 331, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 548) = 96996
GCD(354, 548) = ( 354 x 548 ) / 96996
= 354 / 548
= 354
Step2:
LCM(2, 331) = 662
GCD(2, 331) = ( 2 x 331 ) / 662
= 2 / 331
= 2
Step3:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
So, Greatest Common Divisor of 354, 548, 331, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 548, 331, 689
The greatest common divisor of numbers 354, 548, 331, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 548, 331, 689 is 1.
1. What is the GCD of 354, 548, 331, 689?
GCD of given numbers 354, 548, 331, 689 is 1
2. How to calculate the greatest common divisor of 354, 548, 331, 689?
We can find the highest common divisor of 354, 548, 331, 689 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 354, 548, 331, 689 i.e 1.
3. How can I use the GCD of 354, 548, 331, 689Calculator?
Out the numbers 354, 548, 331, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.