Online GCD Calculator is useful to find the GCD of 740, 616, 338 quickly. Get the easiest ways to solve the greatest common divisor of 740, 616, 338 i.e 2 in different methods as follows.
Given Input numbers are 740, 616, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
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 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 (740, 616, 338) = 2.
Given numbers are 740, 616, 338
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 740, 616, 338 is 2.
Given numbers are 740, 616, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 616) = 113960
GCD(740, 616) = ( 740 x 616 ) / 113960
= 740 / 616
= 740
Step2:
LCM(4, 338) = 676
GCD(4, 338) = ( 4 x 338 ) / 676
= 4 / 338
= 4
So, Greatest Common Divisor of 740, 616, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 616, 338
The greatest common divisor of numbers 740, 616, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 616, 338 is 2.
1. What is the GCD of 740, 616, 338?
GCD of given numbers 740, 616, 338 is 2
2. How to calculate the greatest common divisor of 740, 616, 338?
We can find the highest common divisor of 740, 616, 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 740, 616, 338 i.e 2.
3. How can I use the GCD of 740, 616, 338Calculator?
Out the numbers 740, 616, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.