Online GCD Calculator is useful to find the GCD of 550, 136, 480, 676 quickly. Get the easiest ways to solve the greatest common divisor of 550, 136, 480, 676 i.e 2 in different methods as follows.
Given Input numbers are 550, 136, 480, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
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 (550, 136, 480, 676) = 2.
Given numbers are 550, 136, 480, 676
The list of prime factors of all numbers are
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 550, 136, 480, 676 is 2.
Given numbers are 550, 136, 480, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(550, 136) = 37400
GCD(550, 136) = ( 550 x 136 ) / 37400
= 550 / 136
= 550
Step2:
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
= 2 / 480
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 550, 136, 480, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 550, 136, 480, 676
The greatest common divisor of numbers 550, 136, 480, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 136, 480, 676 is 2.
1. What is the GCD of 550, 136, 480, 676?
GCD of given numbers 550, 136, 480, 676 is 2
2. How to calculate the greatest common divisor of 550, 136, 480, 676?
We can find the highest common divisor of 550, 136, 480, 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 550, 136, 480, 676 i.e 2.
3. How can I use the GCD of 550, 136, 480, 676Calculator?
Out the numbers 550, 136, 480, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.