Online GCD Calculator is useful to find the GCD of 820, 748, 618, 182 quickly. Get the easiest ways to solve the greatest common divisor of 820, 748, 618, 182 i.e 2 in different methods as follows.
Given Input numbers are 820, 748, 618, 182
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (820, 748, 618, 182) = 2.
Given numbers are 820, 748, 618, 182
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 618 are 2 x 3 x 103
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 820, 748, 618, 182 is 2.
Given numbers are 820, 748, 618, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 748) = 153340
GCD(820, 748) = ( 820 x 748 ) / 153340
= 820 / 748
= 820
Step2:
LCM(4, 618) = 1236
GCD(4, 618) = ( 4 x 618 ) / 1236
= 4 / 618
= 4
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 820, 748, 618, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 748, 618, 182
The greatest common divisor of numbers 820, 748, 618, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 748, 618, 182 is 2.
1. What is the GCD of 820, 748, 618, 182?
GCD of given numbers 820, 748, 618, 182 is 2
2. How to calculate the greatest common divisor of 820, 748, 618, 182?
We can find the highest common divisor of 820, 748, 618, 182 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 820, 748, 618, 182 i.e 2.
3. How can I use the GCD of 820, 748, 618, 182Calculator?
Out the numbers 820, 748, 618, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.