Online GCD Calculator is useful to find the GCD of 748, 616, 350 quickly. Get the easiest ways to solve the greatest common divisor of 748, 616, 350 i.e 2 in different methods as follows.
Given Input numbers are 748, 616, 350
In the factoring method, we have to find the divisors of all numbers
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 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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (748, 616, 350) = 2.
Given numbers are 748, 616, 350
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 748, 616, 350 is 2.
Given numbers are 748, 616, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 616) = 10472
GCD(748, 616) = ( 748 x 616 ) / 10472
= 748 / 616
= 748
Step2:
LCM(44, 350) = 7700
GCD(44, 350) = ( 44 x 350 ) / 7700
= 44 / 350
= 44
So, Greatest Common Divisor of 748, 616, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 616, 350
The greatest common divisor of numbers 748, 616, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 616, 350 is 2.
1. What is the GCD of 748, 616, 350?
GCD of given numbers 748, 616, 350 is 2
2. How to calculate the greatest common divisor of 748, 616, 350?
We can find the highest common divisor of 748, 616, 350 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 748, 616, 350 i.e 2.
3. How can I use the GCD of 748, 616, 350Calculator?
Out the numbers 748, 616, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.