Online GCD Calculator is useful to find the GCD of 507, 500, 349, 352 quickly. Get the easiest ways to solve the greatest common divisor of 507, 500, 349, 352 i.e 1 in different methods as follows.
Given Input numbers are 507, 500, 349, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (507, 500, 349, 352) = 1.
Given numbers are 507, 500, 349, 352
The list of prime factors of all numbers are
Prime factors of 507 are 3 x 13 x 13
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 349 are 349
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 507, 500, 349, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(507, 500) = 253500
GCD(507, 500) = ( 507 x 500 ) / 253500
= 507 / 500
= 507
Step2:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 507, 500, 349, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 507, 500, 349, 352
The greatest common divisor of numbers 507, 500, 349, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 500, 349, 352 is 1.
1. What is the GCD of 507, 500, 349, 352?
GCD of given numbers 507, 500, 349, 352 is 1
2. How to calculate the greatest common divisor of 507, 500, 349, 352?
We can find the highest common divisor of 507, 500, 349, 352 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 507, 500, 349, 352 i.e 1.
3. How can I use the GCD of 507, 500, 349, 352Calculator?
Out the numbers 507, 500, 349, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.