Online GCD Calculator is useful to find the GCD of 424, 676, 852, 242 quickly. Get the easiest ways to solve the greatest common divisor of 424, 676, 852, 242 i.e 2 in different methods as follows.
Given Input numbers are 424, 676, 852, 242
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
GCD of numbers is the greatest common divisor
So, the GCD (424, 676, 852, 242) = 2.
Given numbers are 424, 676, 852, 242
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 424, 676, 852, 242 is 2.
Given numbers are 424, 676, 852, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 676) = 71656
GCD(424, 676) = ( 424 x 676 ) / 71656
= 424 / 676
= 424
Step2:
LCM(4, 852) = 852
GCD(4, 852) = ( 4 x 852 ) / 852
= 4 / 852
= 4
Step3:
LCM(4, 242) = 484
GCD(4, 242) = ( 4 x 242 ) / 484
= 4 / 242
= 4
So, Greatest Common Divisor of 424, 676, 852, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 676, 852, 242
The greatest common divisor of numbers 424, 676, 852, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 676, 852, 242 is 2.
1. What is the GCD of 424, 676, 852, 242?
GCD of given numbers 424, 676, 852, 242 is 2
2. How to calculate the greatest common divisor of 424, 676, 852, 242?
We can find the highest common divisor of 424, 676, 852, 242 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 424, 676, 852, 242 i.e 2.
3. How can I use the GCD of 424, 676, 852, 242Calculator?
Out the numbers 424, 676, 852, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.