Online GCD Calculator is useful to find the GCD of 976, 692, 342 quickly. Get the easiest ways to solve the greatest common divisor of 976, 692, 342 i.e 2 in different methods as follows.
Given Input numbers are 976, 692, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
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
GCD of numbers is the greatest common divisor
So, the GCD (976, 692, 342) = 2.
Given numbers are 976, 692, 342
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 692 are 2 x 2 x 173
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 976, 692, 342 is 2.
Given numbers are 976, 692, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 692) = 168848
GCD(976, 692) = ( 976 x 692 ) / 168848
= 976 / 692
= 976
Step2:
LCM(4, 342) = 684
GCD(4, 342) = ( 4 x 342 ) / 684
= 4 / 342
= 4
So, Greatest Common Divisor of 976, 692, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 976, 692, 342
The greatest common divisor of numbers 976, 692, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 692, 342 is 2.
1. What is the GCD of 976, 692, 342?
GCD of given numbers 976, 692, 342 is 2
2. How to calculate the greatest common divisor of 976, 692, 342?
We can find the highest common divisor of 976, 692, 342 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 976, 692, 342 i.e 2.
3. How can I use the GCD of 976, 692, 342Calculator?
Out the numbers 976, 692, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.