Online GCD Calculator is useful to find the GCD of 220, 956, 616, 820 quickly. Get the easiest ways to solve the greatest common divisor of 220, 956, 616, 820 i.e 4 in different methods as follows.
Given Input numbers are 220, 956, 616, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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
GCD of numbers is the greatest common divisor
So, the GCD (220, 956, 616, 820) = 4.
Given numbers are 220, 956, 616, 820
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 956 are 2 x 2 x 239
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 22
Therefore, GCD of 220, 956, 616, 820 is 4.
Given numbers are 220, 956, 616, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 956) = 52580
GCD(220, 956) = ( 220 x 956 ) / 52580
= 220 / 956
= 220
Step2:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
Step3:
LCM(4, 820) = 820
GCD(4, 820) = ( 4 x 820 ) / 820
= 4 / 820
= 4
So, Greatest Common Divisor of 220, 956, 616, 820 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 956, 616, 820
The greatest common divisor of numbers 220, 956, 616, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 956, 616, 820 is 4.
1. What is the GCD of 220, 956, 616, 820?
GCD of given numbers 220, 956, 616, 820 is 4
2. How to calculate the greatest common divisor of 220, 956, 616, 820?
We can find the highest common divisor of 220, 956, 616, 820 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 220, 956, 616, 820 i.e 4.
3. How can I use the GCD of 220, 956, 616, 820Calculator?
Out the numbers 220, 956, 616, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.