Online GCD Calculator is useful to find the GCD of 252, 136, 70, 189 quickly. Get the easiest ways to solve the greatest common divisor of 252, 136, 70, 189 i.e 1 in different methods as follows.
Given Input numbers are 252, 136, 70, 189
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 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 70 :
The positive integer divisors of 70 that completely divides 70 are.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (252, 136, 70, 189) = 1.
Given numbers are 252, 136, 70, 189
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 136 are 2 x 2 x 2 x 17
Prime factors of 70 are 2 x 5 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 252, 136, 70, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(252, 136) = 8568
GCD(252, 136) = ( 252 x 136 ) / 8568
= 252 / 136
= 252
Step2:
LCM(4, 70) = 140
GCD(4, 70) = ( 4 x 70 ) / 140
= 4 / 70
= 4
Step3:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
So, Greatest Common Divisor of 252, 136, 70, 189 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 252, 136, 70, 189
The greatest common divisor of numbers 252, 136, 70, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 136, 70, 189 is 1.
1. What is the GCD of 252, 136, 70, 189?
GCD of given numbers 252, 136, 70, 189 is 1
2. How to calculate the greatest common divisor of 252, 136, 70, 189?
We can find the highest common divisor of 252, 136, 70, 189 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, 136, 70, 189 i.e 1.
3. How can I use the GCD of 252, 136, 70, 189Calculator?
Out the numbers 252, 136, 70, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.