Online GCD Calculator is useful to find the GCD of 414, 313, 692, 702 quickly. Get the easiest ways to solve the greatest common divisor of 414, 313, 692, 702 i.e 1 in different methods as follows.
Given Input numbers are 414, 313, 692, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
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
GCD of numbers is the greatest common divisor
So, the GCD (414, 313, 692, 702) = 1.
Given numbers are 414, 313, 692, 702
The list of prime factors of all numbers are
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 313 are 313
Prime factors of 692 are 2 x 2 x 173
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 414, 313, 692, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(414, 313) = 129582
GCD(414, 313) = ( 414 x 313 ) / 129582
= 414 / 313
= 414
Step2:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 414, 313, 692, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 414, 313, 692, 702
The greatest common divisor of numbers 414, 313, 692, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 313, 692, 702 is 1.
1. What is the GCD of 414, 313, 692, 702?
GCD of given numbers 414, 313, 692, 702 is 1
2. How to calculate the greatest common divisor of 414, 313, 692, 702?
We can find the highest common divisor of 414, 313, 692, 702 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 414, 313, 692, 702 i.e 1.
3. How can I use the GCD of 414, 313, 692, 702Calculator?
Out the numbers 414, 313, 692, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.