Online GCD Calculator is useful to find the GCD of 242, 728, 702 quickly. Get the easiest ways to solve the greatest common divisor of 242, 728, 702 i.e 2 in different methods as follows.
Given Input numbers are 242, 728, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 (242, 728, 702) = 2.
Given numbers are 242, 728, 702
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 242, 728, 702 is 2.
Given numbers are 242, 728, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 728) = 88088
GCD(242, 728) = ( 242 x 728 ) / 88088
= 242 / 728
= 242
Step2:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 242, 728, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 728, 702
The greatest common divisor of numbers 242, 728, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 728, 702 is 2.
1. What is the GCD of 242, 728, 702?
GCD of given numbers 242, 728, 702 is 2
2. How to calculate the greatest common divisor of 242, 728, 702?
We can find the highest common divisor of 242, 728, 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 242, 728, 702 i.e 2.
3. How can I use the GCD of 242, 728, 702Calculator?
Out the numbers 242, 728, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.