Online GCD Calculator is useful to find the GCD of 138, 940, 121, 142 quickly. Get the easiest ways to solve the greatest common divisor of 138, 940, 121, 142 i.e 1 in different methods as follows.
Given Input numbers are 138, 940, 121, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (138, 940, 121, 142) = 1.
Given numbers are 138, 940, 121, 142
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 121 are 11 x 11
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 940, 121, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 940) = 64860
GCD(138, 940) = ( 138 x 940 ) / 64860
= 138 / 940
= 138
Step2:
LCM(2, 121) = 242
GCD(2, 121) = ( 2 x 121 ) / 242
= 2 / 121
= 2
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 138, 940, 121, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 940, 121, 142
The greatest common divisor of numbers 138, 940, 121, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 940, 121, 142 is 1.
1. What is the GCD of 138, 940, 121, 142?
GCD of given numbers 138, 940, 121, 142 is 1
2. How to calculate the greatest common divisor of 138, 940, 121, 142?
We can find the highest common divisor of 138, 940, 121, 142 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 138, 940, 121, 142 i.e 1.
3. How can I use the GCD of 138, 940, 121, 142Calculator?
Out the numbers 138, 940, 121, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.