Online GCD Calculator is useful to find the GCD of 392, 440, 746, 314 quickly. Get the easiest ways to solve the greatest common divisor of 392, 440, 746, 314 i.e 2 in different methods as follows.
Given Input numbers are 392, 440, 746, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (392, 440, 746, 314) = 2.
Given numbers are 392, 440, 746, 314
The list of prime factors of all numbers are
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 746 are 2 x 373
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 392, 440, 746, 314 is 2.
Given numbers are 392, 440, 746, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(392, 440) = 21560
GCD(392, 440) = ( 392 x 440 ) / 21560
= 392 / 440
= 392
Step2:
LCM(8, 746) = 2984
GCD(8, 746) = ( 8 x 746 ) / 2984
= 8 / 746
= 8
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 392, 440, 746, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 392, 440, 746, 314
The greatest common divisor of numbers 392, 440, 746, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 440, 746, 314 is 2.
1. What is the GCD of 392, 440, 746, 314?
GCD of given numbers 392, 440, 746, 314 is 2
2. How to calculate the greatest common divisor of 392, 440, 746, 314?
We can find the highest common divisor of 392, 440, 746, 314 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 392, 440, 746, 314 i.e 2.
3. How can I use the GCD of 392, 440, 746, 314Calculator?
Out the numbers 392, 440, 746, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.