Online GCD Calculator is useful to find the GCD of 464, 268, 20, 938 quickly. Get the easiest ways to solve the greatest common divisor of 464, 268, 20, 938 i.e 2 in different methods as follows.
Given Input numbers are 464, 268, 20, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (464, 268, 20, 938) = 2.
Given numbers are 464, 268, 20, 938
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 268 are 2 x 2 x 67
Prime factors of 20 are 2 x 2 x 5
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 464, 268, 20, 938 is 2.
Given numbers are 464, 268, 20, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 268) = 31088
GCD(464, 268) = ( 464 x 268 ) / 31088
= 464 / 268
= 464
Step2:
LCM(4, 20) = 20
GCD(4, 20) = ( 4 x 20 ) / 20
= 4 / 20
= 4
Step3:
LCM(4, 938) = 1876
GCD(4, 938) = ( 4 x 938 ) / 1876
= 4 / 938
= 4
So, Greatest Common Divisor of 464, 268, 20, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 268, 20, 938
The greatest common divisor of numbers 464, 268, 20, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 268, 20, 938 is 2.
1. What is the GCD of 464, 268, 20, 938?
GCD of given numbers 464, 268, 20, 938 is 2
2. How to calculate the greatest common divisor of 464, 268, 20, 938?
We can find the highest common divisor of 464, 268, 20, 938 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 464, 268, 20, 938 i.e 2.
3. How can I use the GCD of 464, 268, 20, 938Calculator?
Out the numbers 464, 268, 20, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.