Online GCD Calculator is useful to find the GCD of 507, 142, 969, 228 quickly. Get the easiest ways to solve the greatest common divisor of 507, 142, 969, 228 i.e 1 in different methods as follows.
Given Input numbers are 507, 142, 969, 228
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (507, 142, 969, 228) = 1.
Given numbers are 507, 142, 969, 228
The list of prime factors of all numbers are
Prime factors of 507 are 3 x 13 x 13
Prime factors of 142 are 2 x 71
Prime factors of 969 are 3 x 17 x 19
Prime factors of 228 are 2 x 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 507, 142, 969, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(507, 142) = 71994
GCD(507, 142) = ( 507 x 142 ) / 71994
= 507 / 142
= 507
Step2:
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
= 1 / 969
= 1
Step3:
LCM(1, 228) = 228
GCD(1, 228) = ( 1 x 228 ) / 228
= 1 / 228
= 1
So, Greatest Common Divisor of 507, 142, 969, 228 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 507, 142, 969, 228
The greatest common divisor of numbers 507, 142, 969, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 142, 969, 228 is 1.
1. What is the GCD of 507, 142, 969, 228?
GCD of given numbers 507, 142, 969, 228 is 1
2. How to calculate the greatest common divisor of 507, 142, 969, 228?
We can find the highest common divisor of 507, 142, 969, 228 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, 142, 969, 228 i.e 1.
3. How can I use the GCD of 507, 142, 969, 228Calculator?
Out the numbers 507, 142, 969, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.