Online GCD Calculator is useful to find the GCD of 638, 120, 262, 646 quickly. Get the easiest ways to solve the greatest common divisor of 638, 120, 262, 646 i.e 2 in different methods as follows.
Given Input numbers are 638, 120, 262, 646
In the factoring method, we have to find the divisors of all numbers
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
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 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (638, 120, 262, 646) = 2.
Given numbers are 638, 120, 262, 646
The list of prime factors of all numbers are
Prime factors of 638 are 2 x 11 x 29
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 262 are 2 x 131
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 638, 120, 262, 646 is 2.
Given numbers are 638, 120, 262, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(638, 120) = 38280
GCD(638, 120) = ( 638 x 120 ) / 38280
= 638 / 120
= 638
Step2:
LCM(2, 262) = 262
GCD(2, 262) = ( 2 x 262 ) / 262
= 2 / 262
= 2
Step3:
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
= 2 / 646
= 2
So, Greatest Common Divisor of 638, 120, 262, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 638, 120, 262, 646
The greatest common divisor of numbers 638, 120, 262, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 120, 262, 646 is 2.
1. What is the GCD of 638, 120, 262, 646?
GCD of given numbers 638, 120, 262, 646 is 2
2. How to calculate the greatest common divisor of 638, 120, 262, 646?
We can find the highest common divisor of 638, 120, 262, 646 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 638, 120, 262, 646 i.e 2.
3. How can I use the GCD of 638, 120, 262, 646Calculator?
Out the numbers 638, 120, 262, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.