Online GCD Calculator is useful to find the GCD of 748, 320, 732, 698 quickly. Get the easiest ways to solve the greatest common divisor of 748, 320, 732, 698 i.e 2 in different methods as follows.
Given Input numbers are 748, 320, 732, 698
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (748, 320, 732, 698) = 2.
Given numbers are 748, 320, 732, 698
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 698 are 2 x 349
The highest common occurrence is 21
Therefore, GCD of 748, 320, 732, 698 is 2.
Given numbers are 748, 320, 732, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 320) = 59840
GCD(748, 320) = ( 748 x 320 ) / 59840
= 748 / 320
= 748
Step2:
LCM(4, 732) = 732
GCD(4, 732) = ( 4 x 732 ) / 732
= 4 / 732
= 4
Step3:
LCM(4, 698) = 1396
GCD(4, 698) = ( 4 x 698 ) / 1396
= 4 / 698
= 4
So, Greatest Common Divisor of 748, 320, 732, 698 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 320, 732, 698
The greatest common divisor of numbers 748, 320, 732, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 320, 732, 698 is 2.
1. What is the GCD of 748, 320, 732, 698?
GCD of given numbers 748, 320, 732, 698 is 2
2. How to calculate the greatest common divisor of 748, 320, 732, 698?
We can find the highest common divisor of 748, 320, 732, 698 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, 320, 732, 698 i.e 2.
3. How can I use the GCD of 748, 320, 732, 698Calculator?
Out the numbers 748, 320, 732, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.