Online GCD Calculator is useful to find the GCD of 252, 169, 187, 120 quickly. Get the easiest ways to solve the greatest common divisor of 252, 169, 187, 120 i.e 1 in different methods as follows.
Given Input numbers are 252, 169, 187, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (252, 169, 187, 120) = 1.
Given numbers are 252, 169, 187, 120
The list of prime factors of all numbers are
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 169 are 13 x 13
Prime factors of 187 are 11 x 17
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 169, 187, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 169) = 42588
GCD(252, 169) = ( 252 x 169 ) / 42588
= 252 / 169
= 252
Step2:
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
= 1 / 187
= 1
Step3:
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
= 1 / 120
= 1
So, Greatest Common Divisor of 252, 169, 187, 120 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 169, 187, 120
The greatest common divisor of numbers 252, 169, 187, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 169, 187, 120 is 1.
1. What is the GCD of 252, 169, 187, 120?
GCD of given numbers 252, 169, 187, 120 is 1
2. How to calculate the greatest common divisor of 252, 169, 187, 120?
We can find the highest common divisor of 252, 169, 187, 120 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 252, 169, 187, 120 i.e 1.
3. How can I use the GCD of 252, 169, 187, 120Calculator?
Out the numbers 252, 169, 187, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.