Online GCD Calculator is useful to find the GCD of 880, 104, 680, 272 quickly. Get the easiest ways to solve the greatest common divisor of 880, 104, 680, 272 i.e 8 in different methods as follows.
Given Input numbers are 880, 104, 680, 272
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 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (880, 104, 680, 272) = 8.
Given numbers are 880, 104, 680, 272
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 104 are 2 x 2 x 2 x 13
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 23
Therefore, GCD of 880, 104, 680, 272 is 8.
Given numbers are 880, 104, 680, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 104) = 11440
GCD(880, 104) = ( 880 x 104 ) / 11440
= 880 / 104
= 880
Step2:
LCM(8, 680) = 680
GCD(8, 680) = ( 8 x 680 ) / 680
= 8 / 680
= 8
Step3:
LCM(8, 272) = 272
GCD(8, 272) = ( 8 x 272 ) / 272
= 8 / 272
= 8
So, Greatest Common Divisor of 880, 104, 680, 272 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 104, 680, 272
The greatest common divisor of numbers 880, 104, 680, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 104, 680, 272 is 8.
1. What is the GCD of 880, 104, 680, 272?
GCD of given numbers 880, 104, 680, 272 is 8
2. How to calculate the greatest common divisor of 880, 104, 680, 272?
We can find the highest common divisor of 880, 104, 680, 272 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, 104, 680, 272 i.e 8.
3. How can I use the GCD of 880, 104, 680, 272Calculator?
Out the numbers 880, 104, 680, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.