Online GCD Calculator is useful to find the GCD of 488, 702, 274, 598 quickly. Get the easiest ways to solve the greatest common divisor of 488, 702, 274, 598 i.e 2 in different methods as follows.
Given Input numbers are 488, 702, 274, 598
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
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 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
GCD of numbers is the greatest common divisor
So, the GCD (488, 702, 274, 598) = 2.
Given numbers are 488, 702, 274, 598
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 274 are 2 x 137
Prime factors of 598 are 2 x 13 x 23
The highest common occurrence is 21
Therefore, GCD of 488, 702, 274, 598 is 2.
Given numbers are 488, 702, 274, 598
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 702) = 171288
GCD(488, 702) = ( 488 x 702 ) / 171288
= 488 / 702
= 488
Step2:
LCM(2, 274) = 274
GCD(2, 274) = ( 2 x 274 ) / 274
= 2 / 274
= 2
Step3:
LCM(2, 598) = 598
GCD(2, 598) = ( 2 x 598 ) / 598
= 2 / 598
= 2
So, Greatest Common Divisor of 488, 702, 274, 598 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 702, 274, 598
The greatest common divisor of numbers 488, 702, 274, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 702, 274, 598 is 2.
1. What is the GCD of 488, 702, 274, 598?
GCD of given numbers 488, 702, 274, 598 is 2
2. How to calculate the greatest common divisor of 488, 702, 274, 598?
We can find the highest common divisor of 488, 702, 274, 598 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 488, 702, 274, 598 i.e 2.
3. How can I use the GCD of 488, 702, 274, 598Calculator?
Out the numbers 488, 702, 274, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.