Online GCD Calculator is useful to find the GCD of 698, 744, 496, 721 quickly. Get the easiest ways to solve the greatest common divisor of 698, 744, 496, 721 i.e 1 in different methods as follows.
Given Input numbers are 698, 744, 496, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (698, 744, 496, 721) = 1.
Given numbers are 698, 744, 496, 721
The list of prime factors of all numbers are
Prime factors of 698 are 2 x 349
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 698, 744, 496, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(698, 744) = 259656
GCD(698, 744) = ( 698 x 744 ) / 259656
= 698 / 744
= 698
Step2:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
Step3:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
So, Greatest Common Divisor of 698, 744, 496, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 698, 744, 496, 721
The greatest common divisor of numbers 698, 744, 496, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 744, 496, 721 is 1.
1. What is the GCD of 698, 744, 496, 721?
GCD of given numbers 698, 744, 496, 721 is 1
2. How to calculate the greatest common divisor of 698, 744, 496, 721?
We can find the highest common divisor of 698, 744, 496, 721 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 698, 744, 496, 721 i.e 1.
3. How can I use the GCD of 698, 744, 496, 721Calculator?
Out the numbers 698, 744, 496, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.