Online GCD Calculator is useful to find the GCD of 182, 936, 490, 970 quickly. Get the easiest ways to solve the greatest common divisor of 182, 936, 490, 970 i.e 2 in different methods as follows.
Given Input numbers are 182, 936, 490, 970
In the factoring method, we have to find the divisors of all numbers
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
GCD of numbers is the greatest common divisor
So, the GCD (182, 936, 490, 970) = 2.
Given numbers are 182, 936, 490, 970
The list of prime factors of all numbers are
Prime factors of 182 are 2 x 7 x 13
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 970 are 2 x 5 x 97
The highest common occurrence is 21
Therefore, GCD of 182, 936, 490, 970 is 2.
Given numbers are 182, 936, 490, 970
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(182, 936) = 6552
GCD(182, 936) = ( 182 x 936 ) / 6552
= 182 / 936
= 182
Step2:
LCM(26, 490) = 6370
GCD(26, 490) = ( 26 x 490 ) / 6370
= 26 / 490
= 26
Step3:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
So, Greatest Common Divisor of 182, 936, 490, 970 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 182, 936, 490, 970
The greatest common divisor of numbers 182, 936, 490, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 936, 490, 970 is 2.
1. What is the GCD of 182, 936, 490, 970?
GCD of given numbers 182, 936, 490, 970 is 2
2. How to calculate the greatest common divisor of 182, 936, 490, 970?
We can find the highest common divisor of 182, 936, 490, 970 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 182, 936, 490, 970 i.e 2.
3. How can I use the GCD of 182, 936, 490, 970Calculator?
Out the numbers 182, 936, 490, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.