Online GCD Calculator is useful to find the GCD of 260, 208, 507 quickly. Get the easiest ways to solve the greatest common divisor of 260, 208, 507 i.e 13 in different methods as follows.
Given Input numbers are 260, 208, 507
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 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
GCD of numbers is the greatest common divisor
So, the GCD (260, 208, 507) = 13.
Given numbers are 260, 208, 507
The list of prime factors of all numbers are
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 507 are 3 x 13 x 13
The highest common occurrence is 131
Therefore, GCD of 260, 208, 507 is 13.
Given numbers are 260, 208, 507
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(260, 208) = 1040
GCD(260, 208) = ( 260 x 208 ) / 1040
= 260 / 208
= 260
Step2:
LCM(52, 507) = 2028
GCD(52, 507) = ( 52 x 507 ) / 2028
= 52 / 507
= 52
So, Greatest Common Divisor of 260, 208, 507 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 260, 208, 507
The greatest common divisor of numbers 260, 208, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 208, 507 is 13.
1. What is the GCD of 260, 208, 507?
GCD of given numbers 260, 208, 507 is 13
2. How to calculate the greatest common divisor of 260, 208, 507?
We can find the highest common divisor of 260, 208, 507 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, 208, 507 i.e 13.
3. How can I use the GCD of 260, 208, 507Calculator?
Out the numbers 260, 208, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.