Online GCD Calculator is useful to find the GCD of 764, 212, 343 quickly. Get the easiest ways to solve the greatest common divisor of 764, 212, 343 i.e 1 in different methods as follows.
Given Input numbers are 764, 212, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (764, 212, 343) = 1.
Given numbers are 764, 212, 343
The list of prime factors of all numbers are
Prime factors of 764 are 2 x 2 x 191
Prime factors of 212 are 2 x 2 x 53
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 764, 212, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(764, 212) = 40492
GCD(764, 212) = ( 764 x 212 ) / 40492
= 764 / 212
= 764
Step2:
LCM(4, 343) = 1372
GCD(4, 343) = ( 4 x 343 ) / 1372
= 4 / 343
= 4
So, Greatest Common Divisor of 764, 212, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 764, 212, 343
The greatest common divisor of numbers 764, 212, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 212, 343 is 1.
1. What is the GCD of 764, 212, 343?
GCD of given numbers 764, 212, 343 is 1
2. How to calculate the greatest common divisor of 764, 212, 343?
We can find the highest common divisor of 764, 212, 343 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 764, 212, 343 i.e 1.
3. How can I use the GCD of 764, 212, 343Calculator?
Out the numbers 764, 212, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.