Online GCD Calculator is useful to find the GCD of 442, 254, 134, 676 quickly. Get the easiest ways to solve the greatest common divisor of 442, 254, 134, 676 i.e 2 in different methods as follows.
Given Input numbers are 442, 254, 134, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (442, 254, 134, 676) = 2.
Given numbers are 442, 254, 134, 676
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 254 are 2 x 127
Prime factors of 134 are 2 x 67
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 442, 254, 134, 676 is 2.
Given numbers are 442, 254, 134, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 254) = 56134
GCD(442, 254) = ( 442 x 254 ) / 56134
= 442 / 254
= 442
Step2:
LCM(2, 134) = 134
GCD(2, 134) = ( 2 x 134 ) / 134
= 2 / 134
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 442, 254, 134, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 254, 134, 676
The greatest common divisor of numbers 442, 254, 134, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 254, 134, 676 is 2.
1. What is the GCD of 442, 254, 134, 676?
GCD of given numbers 442, 254, 134, 676 is 2
2. How to calculate the greatest common divisor of 442, 254, 134, 676?
We can find the highest common divisor of 442, 254, 134, 676 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 442, 254, 134, 676 i.e 2.
3. How can I use the GCD of 442, 254, 134, 676Calculator?
Out the numbers 442, 254, 134, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.