Online GCD Calculator is useful to find the GCD of 724, 698, 994, 413 quickly. Get the easiest ways to solve the greatest common divisor of 724, 698, 994, 413 i.e 1 in different methods as follows.
Given Input numbers are 724, 698, 994, 413
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (724, 698, 994, 413) = 1.
Given numbers are 724, 698, 994, 413
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 698 are 2 x 349
Prime factors of 994 are 2 x 7 x 71
Prime factors of 413 are 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 724, 698, 994, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 698) = 252676
GCD(724, 698) = ( 724 x 698 ) / 252676
= 724 / 698
= 724
Step2:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
Step3:
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
= 2 / 413
= 2
So, Greatest Common Divisor of 724, 698, 994, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 724, 698, 994, 413
The greatest common divisor of numbers 724, 698, 994, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 698, 994, 413 is 1.
1. What is the GCD of 724, 698, 994, 413?
GCD of given numbers 724, 698, 994, 413 is 1
2. How to calculate the greatest common divisor of 724, 698, 994, 413?
We can find the highest common divisor of 724, 698, 994, 413 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 724, 698, 994, 413 i.e 1.
3. How can I use the GCD of 724, 698, 994, 413Calculator?
Out the numbers 724, 698, 994, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.