Online GCD Calculator is useful to find the GCD of 682, 658, 465, 208 quickly. Get the easiest ways to solve the greatest common divisor of 682, 658, 465, 208 i.e 1 in different methods as follows.
Given Input numbers are 682, 658, 465, 208
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (682, 658, 465, 208) = 1.
Given numbers are 682, 658, 465, 208
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 658 are 2 x 7 x 47
Prime factors of 465 are 3 x 5 x 31
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 682, 658, 465, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 658) = 224378
GCD(682, 658) = ( 682 x 658 ) / 224378
= 682 / 658
= 682
Step2:
LCM(2, 465) = 930
GCD(2, 465) = ( 2 x 465 ) / 930
= 2 / 465
= 2
Step3:
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
= 1 / 208
= 1
So, Greatest Common Divisor of 682, 658, 465, 208 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 658, 465, 208
The greatest common divisor of numbers 682, 658, 465, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 658, 465, 208 is 1.
1. What is the GCD of 682, 658, 465, 208?
GCD of given numbers 682, 658, 465, 208 is 1
2. How to calculate the greatest common divisor of 682, 658, 465, 208?
We can find the highest common divisor of 682, 658, 465, 208 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 682, 658, 465, 208 i.e 1.
3. How can I use the GCD of 682, 658, 465, 208Calculator?
Out the numbers 682, 658, 465, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.