Online GCD Calculator is useful to find the GCD of 597, 270, 142, 105 quickly. Get the easiest ways to solve the greatest common divisor of 597, 270, 142, 105 i.e 1 in different methods as follows.
Given Input numbers are 597, 270, 142, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 597 :
The positive integer divisors of 597 that completely divides 597 are.
1, 3, 199, 597
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (597, 270, 142, 105) = 1.
Given numbers are 597, 270, 142, 105
The list of prime factors of all numbers are
Prime factors of 597 are 3 x 199
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 142 are 2 x 71
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 597, 270, 142, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(597, 270) = 53730
GCD(597, 270) = ( 597 x 270 ) / 53730
= 597 / 270
= 597
Step2:
LCM(3, 142) = 426
GCD(3, 142) = ( 3 x 142 ) / 426
= 3 / 142
= 3
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 597, 270, 142, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 597, 270, 142, 105
The greatest common divisor of numbers 597, 270, 142, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 597, 270, 142, 105 is 1.
1. What is the GCD of 597, 270, 142, 105?
GCD of given numbers 597, 270, 142, 105 is 1
2. How to calculate the greatest common divisor of 597, 270, 142, 105?
We can find the highest common divisor of 597, 270, 142, 105 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 597, 270, 142, 105 i.e 1.
3. How can I use the GCD of 597, 270, 142, 105Calculator?
Out the numbers 597, 270, 142, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.