Online GCD Calculator is useful to find the GCD of 634, 686, 378, 343 quickly. Get the easiest ways to solve the greatest common divisor of 634, 686, 378, 343 i.e 1 in different methods as follows.
Given Input numbers are 634, 686, 378, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 (634, 686, 378, 343) = 1.
Given numbers are 634, 686, 378, 343
The list of prime factors of all numbers are
Prime factors of 634 are 2 x 317
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
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 634, 686, 378, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(634, 686) = 217462
GCD(634, 686) = ( 634 x 686 ) / 217462
= 634 / 686
= 634
Step2:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
Step3:
LCM(2, 343) = 686
GCD(2, 343) = ( 2 x 343 ) / 686
= 2 / 343
= 2
So, Greatest Common Divisor of 634, 686, 378, 343 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 634, 686, 378, 343
The greatest common divisor of numbers 634, 686, 378, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 686, 378, 343 is 1.
1. What is the GCD of 634, 686, 378, 343?
GCD of given numbers 634, 686, 378, 343 is 1
2. How to calculate the greatest common divisor of 634, 686, 378, 343?
We can find the highest common divisor of 634, 686, 378, 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 634, 686, 378, 343 i.e 1.
3. How can I use the GCD of 634, 686, 378, 343Calculator?
Out the numbers 634, 686, 378, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.