Online GCD Calculator is useful to find the GCD of 692, 372, 684, 708 quickly. Get the easiest ways to solve the greatest common divisor of 692, 372, 684, 708 i.e 4 in different methods as follows.
Given Input numbers are 692, 372, 684, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (692, 372, 684, 708) = 4.
Given numbers are 692, 372, 684, 708
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 22
Therefore, GCD of 692, 372, 684, 708 is 4.
Given numbers are 692, 372, 684, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 372) = 64356
GCD(692, 372) = ( 692 x 372 ) / 64356
= 692 / 372
= 692
Step2:
LCM(4, 684) = 684
GCD(4, 684) = ( 4 x 684 ) / 684
= 4 / 684
= 4
Step3:
LCM(4, 708) = 708
GCD(4, 708) = ( 4 x 708 ) / 708
= 4 / 708
= 4
So, Greatest Common Divisor of 692, 372, 684, 708 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 372, 684, 708
The greatest common divisor of numbers 692, 372, 684, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 372, 684, 708 is 4.
1. What is the GCD of 692, 372, 684, 708?
GCD of given numbers 692, 372, 684, 708 is 4
2. How to calculate the greatest common divisor of 692, 372, 684, 708?
We can find the highest common divisor of 692, 372, 684, 708 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 692, 372, 684, 708 i.e 4.
3. How can I use the GCD of 692, 372, 684, 708Calculator?
Out the numbers 692, 372, 684, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.