Online GCD Calculator is useful to find the GCD of 938, 278, 348, 564 quickly. Get the easiest ways to solve the greatest common divisor of 938, 278, 348, 564 i.e 2 in different methods as follows.
Given Input numbers are 938, 278, 348, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (938, 278, 348, 564) = 2.
Given numbers are 938, 278, 348, 564
The list of prime factors of all numbers are
Prime factors of 938 are 2 x 7 x 67
Prime factors of 278 are 2 x 139
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 938, 278, 348, 564 is 2.
Given numbers are 938, 278, 348, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(938, 278) = 130382
GCD(938, 278) = ( 938 x 278 ) / 130382
= 938 / 278
= 938
Step2:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
Step3:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
So, Greatest Common Divisor of 938, 278, 348, 564 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 938, 278, 348, 564
The greatest common divisor of numbers 938, 278, 348, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 278, 348, 564 is 2.
1. What is the GCD of 938, 278, 348, 564?
GCD of given numbers 938, 278, 348, 564 is 2
2. How to calculate the greatest common divisor of 938, 278, 348, 564?
We can find the highest common divisor of 938, 278, 348, 564 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 938, 278, 348, 564 i.e 2.
3. How can I use the GCD of 938, 278, 348, 564Calculator?
Out the numbers 938, 278, 348, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.