Online GCD Calculator is useful to find the GCD of 502, 524, 353, 378 quickly. Get the easiest ways to solve the greatest common divisor of 502, 524, 353, 378 i.e 1 in different methods as follows.
Given Input numbers are 502, 524, 353, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (502, 524, 353, 378) = 1.
Given numbers are 502, 524, 353, 378
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 524 are 2 x 2 x 131
Prime factors of 353 are 353
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 502, 524, 353, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 524) = 131524
GCD(502, 524) = ( 502 x 524 ) / 131524
= 502 / 524
= 502
Step2:
LCM(2, 353) = 706
GCD(2, 353) = ( 2 x 353 ) / 706
= 2 / 353
= 2
Step3:
LCM(1, 378) = 378
GCD(1, 378) = ( 1 x 378 ) / 378
= 1 / 378
= 1
So, Greatest Common Divisor of 502, 524, 353, 378 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 524, 353, 378
The greatest common divisor of numbers 502, 524, 353, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 524, 353, 378 is 1.
1. What is the GCD of 502, 524, 353, 378?
GCD of given numbers 502, 524, 353, 378 is 1
2. How to calculate the greatest common divisor of 502, 524, 353, 378?
We can find the highest common divisor of 502, 524, 353, 378 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 502, 524, 353, 378 i.e 1.
3. How can I use the GCD of 502, 524, 353, 378Calculator?
Out the numbers 502, 524, 353, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.