Online GCD Calculator is useful to find the GCD of 702, 327, 343, 400 quickly. Get the easiest ways to solve the greatest common divisor of 702, 327, 343, 400 i.e 1 in different methods as follows.
Given Input numbers are 702, 327, 343, 400
In the factoring method, we have to find the divisors of all numbers
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (702, 327, 343, 400) = 1.
Given numbers are 702, 327, 343, 400
The list of prime factors of all numbers are
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 327 are 3 x 109
Prime factors of 343 are 7 x 7 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 702, 327, 343, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(702, 327) = 76518
GCD(702, 327) = ( 702 x 327 ) / 76518
= 702 / 327
= 702
Step2:
LCM(3, 343) = 1029
GCD(3, 343) = ( 3 x 343 ) / 1029
= 3 / 343
= 3
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 702, 327, 343, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 702, 327, 343, 400
The greatest common divisor of numbers 702, 327, 343, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 327, 343, 400 is 1.
1. What is the GCD of 702, 327, 343, 400?
GCD of given numbers 702, 327, 343, 400 is 1
2. How to calculate the greatest common divisor of 702, 327, 343, 400?
We can find the highest common divisor of 702, 327, 343, 400 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 702, 327, 343, 400 i.e 1.
3. How can I use the GCD of 702, 327, 343, 400Calculator?
Out the numbers 702, 327, 343, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.