Online GCD Calculator is useful to find the GCD of 686, 740, 172, 242 quickly. Get the easiest ways to solve the greatest common divisor of 686, 740, 172, 242 i.e 2 in different methods as follows.
Given Input numbers are 686, 740, 172, 242
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 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
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 (686, 740, 172, 242) = 2.
Given numbers are 686, 740, 172, 242
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 172 are 2 x 2 x 43
Prime factors of 242 are 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 686, 740, 172, 242 is 2.
Given numbers are 686, 740, 172, 242
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 740) = 253820
GCD(686, 740) = ( 686 x 740 ) / 253820
= 686 / 740
= 686
Step2:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
Step3:
LCM(2, 242) = 242
GCD(2, 242) = ( 2 x 242 ) / 242
= 2 / 242
= 2
So, Greatest Common Divisor of 686, 740, 172, 242 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 740, 172, 242
The greatest common divisor of numbers 686, 740, 172, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 740, 172, 242 is 2.
1. What is the GCD of 686, 740, 172, 242?
GCD of given numbers 686, 740, 172, 242 is 2
2. How to calculate the greatest common divisor of 686, 740, 172, 242?
We can find the highest common divisor of 686, 740, 172, 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 686, 740, 172, 242 i.e 2.
3. How can I use the GCD of 686, 740, 172, 242Calculator?
Out the numbers 686, 740, 172, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.