Online GCD Calculator is useful to find the GCD of 630, 170, 676, 362 quickly. Get the easiest ways to solve the greatest common divisor of 630, 170, 676, 362 i.e 2 in different methods as follows.
Given Input numbers are 630, 170, 676, 362
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
GCD of numbers is the greatest common divisor
So, the GCD (630, 170, 676, 362) = 2.
Given numbers are 630, 170, 676, 362
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 170 are 2 x 5 x 17
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 362 are 2 x 181
The highest common occurrence is 21
Therefore, GCD of 630, 170, 676, 362 is 2.
Given numbers are 630, 170, 676, 362
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 170) = 10710
GCD(630, 170) = ( 630 x 170 ) / 10710
= 630 / 170
= 630
Step2:
LCM(10, 676) = 3380
GCD(10, 676) = ( 10 x 676 ) / 3380
= 10 / 676
= 10
Step3:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
So, Greatest Common Divisor of 630, 170, 676, 362 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 170, 676, 362
The greatest common divisor of numbers 630, 170, 676, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 170, 676, 362 is 2.
1. What is the GCD of 630, 170, 676, 362?
GCD of given numbers 630, 170, 676, 362 is 2
2. How to calculate the greatest common divisor of 630, 170, 676, 362?
We can find the highest common divisor of 630, 170, 676, 362 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 630, 170, 676, 362 i.e 2.
3. How can I use the GCD of 630, 170, 676, 362Calculator?
Out the numbers 630, 170, 676, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.