Online GCD Calculator is useful to find the GCD of 242, 456, 738, 628 quickly. Get the easiest ways to solve the greatest common divisor of 242, 456, 738, 628 i.e 2 in different methods as follows.
Given Input numbers are 242, 456, 738, 628
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (242, 456, 738, 628) = 2.
Given numbers are 242, 456, 738, 628
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 628 are 2 x 2 x 157
The highest common occurrence is 21
Therefore, GCD of 242, 456, 738, 628 is 2.
Given numbers are 242, 456, 738, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 456) = 55176
GCD(242, 456) = ( 242 x 456 ) / 55176
= 242 / 456
= 242
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 628) = 628
GCD(2, 628) = ( 2 x 628 ) / 628
= 2 / 628
= 2
So, Greatest Common Divisor of 242, 456, 738, 628 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 456, 738, 628
The greatest common divisor of numbers 242, 456, 738, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 456, 738, 628 is 2.
1. What is the GCD of 242, 456, 738, 628?
GCD of given numbers 242, 456, 738, 628 is 2
2. How to calculate the greatest common divisor of 242, 456, 738, 628?
We can find the highest common divisor of 242, 456, 738, 628 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, 456, 738, 628 i.e 2.
3. How can I use the GCD of 242, 456, 738, 628Calculator?
Out the numbers 242, 456, 738, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.