Online GCD Calculator is useful to find the GCD of 368, 506, 692, 374 quickly. Get the easiest ways to solve the greatest common divisor of 368, 506, 692, 374 i.e 2 in different methods as follows.
Given Input numbers are 368, 506, 692, 374
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
GCD of numbers is the greatest common divisor
So, the GCD (368, 506, 692, 374) = 2.
Given numbers are 368, 506, 692, 374
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 506 are 2 x 11 x 23
Prime factors of 692 are 2 x 2 x 173
Prime factors of 374 are 2 x 11 x 17
The highest common occurrence is 21
Therefore, GCD of 368, 506, 692, 374 is 2.
Given numbers are 368, 506, 692, 374
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 506) = 4048
GCD(368, 506) = ( 368 x 506 ) / 4048
= 368 / 506
= 368
Step2:
LCM(46, 692) = 15916
GCD(46, 692) = ( 46 x 692 ) / 15916
= 46 / 692
= 46
Step3:
LCM(2, 374) = 374
GCD(2, 374) = ( 2 x 374 ) / 374
= 2 / 374
= 2
So, Greatest Common Divisor of 368, 506, 692, 374 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 506, 692, 374
The greatest common divisor of numbers 368, 506, 692, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 506, 692, 374 is 2.
1. What is the GCD of 368, 506, 692, 374?
GCD of given numbers 368, 506, 692, 374 is 2
2. How to calculate the greatest common divisor of 368, 506, 692, 374?
We can find the highest common divisor of 368, 506, 692, 374 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 368, 506, 692, 374 i.e 2.
3. How can I use the GCD of 368, 506, 692, 374Calculator?
Out the numbers 368, 506, 692, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.