Online GCD Calculator is useful to find the GCD of 880, 204, 220, 676 quickly. Get the easiest ways to solve the greatest common divisor of 880, 204, 220, 676 i.e 4 in different methods as follows.
Given Input numbers are 880, 204, 220, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
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 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (880, 204, 220, 676) = 4.
Given numbers are 880, 204, 220, 676
The list of prime factors of all numbers are
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 22
Therefore, GCD of 880, 204, 220, 676 is 4.
Given numbers are 880, 204, 220, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 204) = 44880
GCD(880, 204) = ( 880 x 204 ) / 44880
= 880 / 204
= 880
Step2:
LCM(4, 220) = 220
GCD(4, 220) = ( 4 x 220 ) / 220
= 4 / 220
= 4
Step3:
LCM(4, 676) = 676
GCD(4, 676) = ( 4 x 676 ) / 676
= 4 / 676
= 4
So, Greatest Common Divisor of 880, 204, 220, 676 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 204, 220, 676
The greatest common divisor of numbers 880, 204, 220, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 204, 220, 676 is 4.
1. What is the GCD of 880, 204, 220, 676?
GCD of given numbers 880, 204, 220, 676 is 4
2. How to calculate the greatest common divisor of 880, 204, 220, 676?
We can find the highest common divisor of 880, 204, 220, 676 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 880, 204, 220, 676 i.e 4.
3. How can I use the GCD of 880, 204, 220, 676Calculator?
Out the numbers 880, 204, 220, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.