Online GCD Calculator is useful to find the GCD of 931, 420, 342 quickly. Get the easiest ways to solve the greatest common divisor of 931, 420, 342 i.e 1 in different methods as follows.
Given Input numbers are 931, 420, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
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 (931, 420, 342) = 1.
Given numbers are 931, 420, 342
The list of prime factors of all numbers are
Prime factors of 931 are 7 x 7 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 931, 420, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(931, 420) = 55860
GCD(931, 420) = ( 931 x 420 ) / 55860
= 931 / 420
= 931
Step2:
LCM(7, 342) = 2394
GCD(7, 342) = ( 7 x 342 ) / 2394
= 7 / 342
= 7
So, Greatest Common Divisor of 931, 420, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 931, 420, 342
The greatest common divisor of numbers 931, 420, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 931, 420, 342 is 1.
1. What is the GCD of 931, 420, 342?
GCD of given numbers 931, 420, 342 is 1
2. How to calculate the greatest common divisor of 931, 420, 342?
We can find the highest common divisor of 931, 420, 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 931, 420, 342 i.e 1.
3. How can I use the GCD of 931, 420, 342Calculator?
Out the numbers 931, 420, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.