Online GCD Calculator is useful to find the GCD of 220, 752, 996, 612 quickly. Get the easiest ways to solve the greatest common divisor of 220, 752, 996, 612 i.e 4 in different methods as follows.
Given Input numbers are 220, 752, 996, 612
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 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
GCD of numbers is the greatest common divisor
So, the GCD (220, 752, 996, 612) = 4.
Given numbers are 220, 752, 996, 612
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 22
Therefore, GCD of 220, 752, 996, 612 is 4.
Given numbers are 220, 752, 996, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 752) = 41360
GCD(220, 752) = ( 220 x 752 ) / 41360
= 220 / 752
= 220
Step2:
LCM(4, 996) = 996
GCD(4, 996) = ( 4 x 996 ) / 996
= 4 / 996
= 4
Step3:
LCM(4, 612) = 612
GCD(4, 612) = ( 4 x 612 ) / 612
= 4 / 612
= 4
So, Greatest Common Divisor of 220, 752, 996, 612 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 752, 996, 612
The greatest common divisor of numbers 220, 752, 996, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 752, 996, 612 is 4.
1. What is the GCD of 220, 752, 996, 612?
GCD of given numbers 220, 752, 996, 612 is 4
2. How to calculate the greatest common divisor of 220, 752, 996, 612?
We can find the highest common divisor of 220, 752, 996, 612 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, 752, 996, 612 i.e 4.
3. How can I use the GCD of 220, 752, 996, 612Calculator?
Out the numbers 220, 752, 996, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.