Online GCD Calculator is useful to find the GCD of 302, 240, 187, 138 quickly. Get the easiest ways to solve the greatest common divisor of 302, 240, 187, 138 i.e 1 in different methods as follows.
Given Input numbers are 302, 240, 187, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (302, 240, 187, 138) = 1.
Given numbers are 302, 240, 187, 138
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 187 are 11 x 17
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 302, 240, 187, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 240) = 36240
GCD(302, 240) = ( 302 x 240 ) / 36240
= 302 / 240
= 302
Step2:
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
= 2 / 187
= 2
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 302, 240, 187, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 240, 187, 138
The greatest common divisor of numbers 302, 240, 187, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 240, 187, 138 is 1.
1. What is the GCD of 302, 240, 187, 138?
GCD of given numbers 302, 240, 187, 138 is 1
2. How to calculate the greatest common divisor of 302, 240, 187, 138?
We can find the highest common divisor of 302, 240, 187, 138 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 302, 240, 187, 138 i.e 1.
3. How can I use the GCD of 302, 240, 187, 138Calculator?
Out the numbers 302, 240, 187, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.