Online GCD Calculator is useful to find the GCD of 242, 570, 600, 988 quickly. Get the easiest ways to solve the greatest common divisor of 242, 570, 600, 988 i.e 2 in different methods as follows.
Given Input numbers are 242, 570, 600, 988
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 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (242, 570, 600, 988) = 2.
Given numbers are 242, 570, 600, 988
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 242, 570, 600, 988 is 2.
Given numbers are 242, 570, 600, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 570) = 68970
GCD(242, 570) = ( 242 x 570 ) / 68970
= 242 / 570
= 242
Step2:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
Step3:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
So, Greatest Common Divisor of 242, 570, 600, 988 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 570, 600, 988
The greatest common divisor of numbers 242, 570, 600, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 570, 600, 988 is 2.
1. What is the GCD of 242, 570, 600, 988?
GCD of given numbers 242, 570, 600, 988 is 2
2. How to calculate the greatest common divisor of 242, 570, 600, 988?
We can find the highest common divisor of 242, 570, 600, 988 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, 570, 600, 988 i.e 2.
3. How can I use the GCD of 242, 570, 600, 988Calculator?
Out the numbers 242, 570, 600, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.