Online GCD Calculator is useful to find the GCD of 748, 374, 784, 502 quickly. Get the easiest ways to solve the greatest common divisor of 748, 374, 784, 502 i.e 2 in different methods as follows.
Given Input numbers are 748, 374, 784, 502
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 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
GCD of numbers is the greatest common divisor
So, the GCD (748, 374, 784, 502) = 2.
Given numbers are 748, 374, 784, 502
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 374 are 2 x 11 x 17
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 502 are 2 x 251
The highest common occurrence is 21
Therefore, GCD of 748, 374, 784, 502 is 2.
Given numbers are 748, 374, 784, 502
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 374) = 748
GCD(748, 374) = ( 748 x 374 ) / 748
= 748 / 374
= 748
Step2:
LCM(374, 784) = 146608
GCD(374, 784) = ( 374 x 784 ) / 146608
= 374 / 784
= 374
Step3:
LCM(2, 502) = 502
GCD(2, 502) = ( 2 x 502 ) / 502
= 2 / 502
= 2
So, Greatest Common Divisor of 748, 374, 784, 502 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 374, 784, 502
The greatest common divisor of numbers 748, 374, 784, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 374, 784, 502 is 2.
1. What is the GCD of 748, 374, 784, 502?
GCD of given numbers 748, 374, 784, 502 is 2
2. How to calculate the greatest common divisor of 748, 374, 784, 502?
We can find the highest common divisor of 748, 374, 784, 502 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, 374, 784, 502 i.e 2.
3. How can I use the GCD of 748, 374, 784, 502Calculator?
Out the numbers 748, 374, 784, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.