Online GCD Calculator is useful to find the GCD of 498, 702, 772, 699 quickly. Get the easiest ways to solve the greatest common divisor of 498, 702, 772, 699 i.e 1 in different methods as follows.
Given Input numbers are 498, 702, 772, 699
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
GCD of numbers is the greatest common divisor
So, the GCD (498, 702, 772, 699) = 1.
Given numbers are 498, 702, 772, 699
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 772 are 2 x 2 x 193
Prime factors of 699 are 3 x 233
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 702, 772, 699
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 702) = 58266
GCD(498, 702) = ( 498 x 702 ) / 58266
= 498 / 702
= 498
Step2:
LCM(6, 772) = 2316
GCD(6, 772) = ( 6 x 772 ) / 2316
= 6 / 772
= 6
Step3:
LCM(2, 699) = 1398
GCD(2, 699) = ( 2 x 699 ) / 1398
= 2 / 699
= 2
So, Greatest Common Divisor of 498, 702, 772, 699 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 702, 772, 699
The greatest common divisor of numbers 498, 702, 772, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 702, 772, 699 is 1.
1. What is the GCD of 498, 702, 772, 699?
GCD of given numbers 498, 702, 772, 699 is 1
2. How to calculate the greatest common divisor of 498, 702, 772, 699?
We can find the highest common divisor of 498, 702, 772, 699 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 498, 702, 772, 699 i.e 1.
3. How can I use the GCD of 498, 702, 772, 699Calculator?
Out the numbers 498, 702, 772, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.