Online GCD Calculator is useful to find the GCD of 686, 626, 268, 552 quickly. Get the easiest ways to solve the greatest common divisor of 686, 626, 268, 552 i.e 2 in different methods as follows.
Given Input numbers are 686, 626, 268, 552
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
GCD of numbers is the greatest common divisor
So, the GCD (686, 626, 268, 552) = 2.
Given numbers are 686, 626, 268, 552
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 626 are 2 x 313
Prime factors of 268 are 2 x 2 x 67
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 686, 626, 268, 552 is 2.
Given numbers are 686, 626, 268, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 626) = 214718
GCD(686, 626) = ( 686 x 626 ) / 214718
= 686 / 626
= 686
Step2:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
Step3:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
So, Greatest Common Divisor of 686, 626, 268, 552 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 626, 268, 552
The greatest common divisor of numbers 686, 626, 268, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 626, 268, 552 is 2.
1. What is the GCD of 686, 626, 268, 552?
GCD of given numbers 686, 626, 268, 552 is 2
2. How to calculate the greatest common divisor of 686, 626, 268, 552?
We can find the highest common divisor of 686, 626, 268, 552 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 686, 626, 268, 552 i.e 2.
3. How can I use the GCD of 686, 626, 268, 552Calculator?
Out the numbers 686, 626, 268, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.