Online GCD Calculator is useful to find the GCD of 210, 464, 648, 938 quickly. Get the easiest ways to solve the greatest common divisor of 210, 464, 648, 938 i.e 2 in different methods as follows.
Given Input numbers are 210, 464, 648, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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 (210, 464, 648, 938) = 2.
Given numbers are 210, 464, 648, 938
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 210, 464, 648, 938 is 2.
Given numbers are 210, 464, 648, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 464) = 48720
GCD(210, 464) = ( 210 x 464 ) / 48720
= 210 / 464
= 210
Step2:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
Step3:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
So, Greatest Common Divisor of 210, 464, 648, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 464, 648, 938
The greatest common divisor of numbers 210, 464, 648, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 464, 648, 938 is 2.
1. What is the GCD of 210, 464, 648, 938?
GCD of given numbers 210, 464, 648, 938 is 2
2. How to calculate the greatest common divisor of 210, 464, 648, 938?
We can find the highest common divisor of 210, 464, 648, 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 210, 464, 648, 938 i.e 2.
3. How can I use the GCD of 210, 464, 648, 938Calculator?
Out the numbers 210, 464, 648, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.