Online GCD Calculator is useful to find the GCD of 730, 686, 210, 548 quickly. Get the easiest ways to solve the greatest common divisor of 730, 686, 210, 548 i.e 2 in different methods as follows.
Given Input numbers are 730, 686, 210, 548
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (730, 686, 210, 548) = 2.
Given numbers are 730, 686, 210, 548
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 548 are 2 x 2 x 137
The highest common occurrence is 21
Therefore, GCD of 730, 686, 210, 548 is 2.
Given numbers are 730, 686, 210, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 686) = 250390
GCD(730, 686) = ( 730 x 686 ) / 250390
= 730 / 686
= 730
Step2:
LCM(2, 210) = 210
GCD(2, 210) = ( 2 x 210 ) / 210
= 2 / 210
= 2
Step3:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
So, Greatest Common Divisor of 730, 686, 210, 548 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 686, 210, 548
The greatest common divisor of numbers 730, 686, 210, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 686, 210, 548 is 2.
1. What is the GCD of 730, 686, 210, 548?
GCD of given numbers 730, 686, 210, 548 is 2
2. How to calculate the greatest common divisor of 730, 686, 210, 548?
We can find the highest common divisor of 730, 686, 210, 548 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 730, 686, 210, 548 i.e 2.
3. How can I use the GCD of 730, 686, 210, 548Calculator?
Out the numbers 730, 686, 210, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.