Online GCD Calculator is useful to find the GCD of 446, 686, 550, 702 quickly. Get the easiest ways to solve the greatest common divisor of 446, 686, 550, 702 i.e 2 in different methods as follows.
Given Input numbers are 446, 686, 550, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (446, 686, 550, 702) = 2.
Given numbers are 446, 686, 550, 702
The list of prime factors of all numbers are
Prime factors of 446 are 2 x 223
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 446, 686, 550, 702 is 2.
Given numbers are 446, 686, 550, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(446, 686) = 152978
GCD(446, 686) = ( 446 x 686 ) / 152978
= 446 / 686
= 446
Step2:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 446, 686, 550, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 446, 686, 550, 702
The greatest common divisor of numbers 446, 686, 550, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 686, 550, 702 is 2.
1. What is the GCD of 446, 686, 550, 702?
GCD of given numbers 446, 686, 550, 702 is 2
2. How to calculate the greatest common divisor of 446, 686, 550, 702?
We can find the highest common divisor of 446, 686, 550, 702 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 446, 686, 550, 702 i.e 2.
3. How can I use the GCD of 446, 686, 550, 702Calculator?
Out the numbers 446, 686, 550, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.