Online GCD Calculator is useful to find the GCD of 916, 278, 748, 338 quickly. Get the easiest ways to solve the greatest common divisor of 916, 278, 748, 338 i.e 2 in different methods as follows.
Given Input numbers are 916, 278, 748, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (916, 278, 748, 338) = 2.
Given numbers are 916, 278, 748, 338
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 278 are 2 x 139
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 916, 278, 748, 338 is 2.
Given numbers are 916, 278, 748, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 278) = 127324
GCD(916, 278) = ( 916 x 278 ) / 127324
= 916 / 278
= 916
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 916, 278, 748, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 916, 278, 748, 338
The greatest common divisor of numbers 916, 278, 748, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 278, 748, 338 is 2.
1. What is the GCD of 916, 278, 748, 338?
GCD of given numbers 916, 278, 748, 338 is 2
2. How to calculate the greatest common divisor of 916, 278, 748, 338?
We can find the highest common divisor of 916, 278, 748, 338 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 916, 278, 748, 338 i.e 2.
3. How can I use the GCD of 916, 278, 748, 338Calculator?
Out the numbers 916, 278, 748, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.