Online GCD Calculator is useful to find the GCD of 616, 938, 220, 744 quickly. Get the easiest ways to solve the greatest common divisor of 616, 938, 220, 744 i.e 2 in different methods as follows.
Given Input numbers are 616, 938, 220, 744
In the factoring method, we have to find the divisors of all numbers
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
GCD of numbers is the greatest common divisor
So, the GCD (616, 938, 220, 744) = 2.
Given numbers are 616, 938, 220, 744
The list of prime factors of all numbers are
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 938 are 2 x 7 x 67
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
The highest common occurrence is 21
Therefore, GCD of 616, 938, 220, 744 is 2.
Given numbers are 616, 938, 220, 744
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(616, 938) = 41272
GCD(616, 938) = ( 616 x 938 ) / 41272
= 616 / 938
= 616
Step2:
LCM(14, 220) = 1540
GCD(14, 220) = ( 14 x 220 ) / 1540
= 14 / 220
= 14
Step3:
LCM(2, 744) = 744
GCD(2, 744) = ( 2 x 744 ) / 744
= 2 / 744
= 2
So, Greatest Common Divisor of 616, 938, 220, 744 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 616, 938, 220, 744
The greatest common divisor of numbers 616, 938, 220, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 938, 220, 744 is 2.
1. What is the GCD of 616, 938, 220, 744?
GCD of given numbers 616, 938, 220, 744 is 2
2. How to calculate the greatest common divisor of 616, 938, 220, 744?
We can find the highest common divisor of 616, 938, 220, 744 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 616, 938, 220, 744 i.e 2.
3. How can I use the GCD of 616, 938, 220, 744Calculator?
Out the numbers 616, 938, 220, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.