Online GCD Calculator is useful to find the GCD of 507, 352, 100, 375 quickly. Get the easiest ways to solve the greatest common divisor of 507, 352, 100, 375 i.e 1 in different methods as follows.
Given Input numbers are 507, 352, 100, 375
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 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
GCD of numbers is the greatest common divisor
So, the GCD (507, 352, 100, 375) = 1.
Given numbers are 507, 352, 100, 375
The list of prime factors of all numbers are
Prime factors of 507 are 3 x 13 x 13
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 375 are 3 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 507, 352, 100, 375
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(507, 352) = 178464
GCD(507, 352) = ( 507 x 352 ) / 178464
= 507 / 352
= 507
Step2:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
Step3:
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
= 1 / 375
= 1
So, Greatest Common Divisor of 507, 352, 100, 375 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 507, 352, 100, 375
The greatest common divisor of numbers 507, 352, 100, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 352, 100, 375 is 1.
1. What is the GCD of 507, 352, 100, 375?
GCD of given numbers 507, 352, 100, 375 is 1
2. How to calculate the greatest common divisor of 507, 352, 100, 375?
We can find the highest common divisor of 507, 352, 100, 375 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, 352, 100, 375 i.e 1.
3. How can I use the GCD of 507, 352, 100, 375Calculator?
Out the numbers 507, 352, 100, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.