Online GCD Calculator is useful to find the GCD of 120, 106, 125, 639 quickly. Get the easiest ways to solve the greatest common divisor of 120, 106, 125, 639 i.e 1 in different methods as follows.
Given Input numbers are 120, 106, 125, 639
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 639 :
The positive integer divisors of 639 that completely divides 639 are.
1, 3, 9, 71, 213, 639
GCD of numbers is the greatest common divisor
So, the GCD (120, 106, 125, 639) = 1.
Given numbers are 120, 106, 125, 639
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 106 are 2 x 53
Prime factors of 125 are 5 x 5 x 5
Prime factors of 639 are 3 x 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 106, 125, 639
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 106) = 6360
GCD(120, 106) = ( 120 x 106 ) / 6360
= 120 / 106
= 120
Step2:
LCM(2, 125) = 250
GCD(2, 125) = ( 2 x 125 ) / 250
= 2 / 125
= 2
Step3:
LCM(1, 639) = 639
GCD(1, 639) = ( 1 x 639 ) / 639
= 1 / 639
= 1
So, Greatest Common Divisor of 120, 106, 125, 639 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 106, 125, 639
The greatest common divisor of numbers 120, 106, 125, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 106, 125, 639 is 1.
1. What is the GCD of 120, 106, 125, 639?
GCD of given numbers 120, 106, 125, 639 is 1
2. How to calculate the greatest common divisor of 120, 106, 125, 639?
We can find the highest common divisor of 120, 106, 125, 639 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 120, 106, 125, 639 i.e 1.
3. How can I use the GCD of 120, 106, 125, 639Calculator?
Out the numbers 120, 106, 125, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.