Online GCD Calculator is useful to find the GCD of 692, 342, 747 quickly. Get the easiest ways to solve the greatest common divisor of 692, 342, 747 i.e 1 in different methods as follows.
Given Input numbers are 692, 342, 747
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (692, 342, 747) = 1.
Given numbers are 692, 342, 747
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 692, 342, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 342) = 118332
GCD(692, 342) = ( 692 x 342 ) / 118332
= 692 / 342
= 692
Step2:
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
= 2 / 747
= 2
So, Greatest Common Divisor of 692, 342, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 342, 747
The greatest common divisor of numbers 692, 342, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 342, 747 is 1.
1. What is the GCD of 692, 342, 747?
GCD of given numbers 692, 342, 747 is 1
2. How to calculate the greatest common divisor of 692, 342, 747?
We can find the highest common divisor of 692, 342, 747 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, 342, 747 i.e 1.
3. How can I use the GCD of 692, 342, 747Calculator?
Out the numbers 692, 342, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.