Online GCD Calculator is useful to find the GCD of 260, 548, 514, 137 quickly. Get the easiest ways to solve the greatest common divisor of 260, 548, 514, 137 i.e 1 in different methods as follows.
Given Input numbers are 260, 548, 514, 137
In the factoring method, we have to find the divisors of all numbers
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 514 :
The positive integer divisors of 514 that completely divides 514 are.
1, 2, 257, 514
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
GCD of numbers is the greatest common divisor
So, the GCD (260, 548, 514, 137) = 1.
Given numbers are 260, 548, 514, 137
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 548 are 2 x 2 x 137
Prime factors of 514 are 2 x 257
Prime factors of 137 are 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 260, 548, 514, 137
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 548) = 35620
GCD(260, 548) = ( 260 x 548 ) / 35620
= 260 / 548
= 260
Step2:
LCM(4, 514) = 1028
GCD(4, 514) = ( 4 x 514 ) / 1028
= 4 / 514
= 4
Step3:
LCM(2, 137) = 274
GCD(2, 137) = ( 2 x 137 ) / 274
= 2 / 137
= 2
So, Greatest Common Divisor of 260, 548, 514, 137 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 260, 548, 514, 137
The greatest common divisor of numbers 260, 548, 514, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 548, 514, 137 is 1.
1. What is the GCD of 260, 548, 514, 137?
GCD of given numbers 260, 548, 514, 137 is 1
2. How to calculate the greatest common divisor of 260, 548, 514, 137?
We can find the highest common divisor of 260, 548, 514, 137 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 260, 548, 514, 137 i.e 1.
3. How can I use the GCD of 260, 548, 514, 137Calculator?
Out the numbers 260, 548, 514, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.