Online GCD Calculator is useful to find the GCD of 692, 452, 702, 216 quickly. Get the easiest ways to solve the greatest common divisor of 692, 452, 702, 216 i.e 2 in different methods as follows.
Given Input numbers are 692, 452, 702, 216
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (692, 452, 702, 216) = 2.
Given numbers are 692, 452, 702, 216
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 452 are 2 x 2 x 113
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 692, 452, 702, 216 is 2.
Given numbers are 692, 452, 702, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 452) = 78196
GCD(692, 452) = ( 692 x 452 ) / 78196
= 692 / 452
= 692
Step2:
LCM(4, 702) = 1404
GCD(4, 702) = ( 4 x 702 ) / 1404
= 4 / 702
= 4
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 692, 452, 702, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 452, 702, 216
The greatest common divisor of numbers 692, 452, 702, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 452, 702, 216 is 2.
1. What is the GCD of 692, 452, 702, 216?
GCD of given numbers 692, 452, 702, 216 is 2
2. How to calculate the greatest common divisor of 692, 452, 702, 216?
We can find the highest common divisor of 692, 452, 702, 216 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, 452, 702, 216 i.e 2.
3. How can I use the GCD of 692, 452, 702, 216Calculator?
Out the numbers 692, 452, 702, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.