Online GCD Calculator is useful to find the GCD of 880, 552, 890, 976 quickly. Get the easiest ways to solve the greatest common divisor of 880, 552, 890, 976 i.e 2 in different methods as follows.
Given Input numbers are 880, 552, 890, 976
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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 890 :
The positive integer divisors of 890 that completely divides 890 are.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
GCD of numbers is the greatest common divisor
So, the GCD (880, 552, 890, 976) = 2.
Given numbers are 880, 552, 890, 976
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 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 890 are 2 x 5 x 89
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The highest common occurrence is 21
Therefore, GCD of 880, 552, 890, 976 is 2.
Given numbers are 880, 552, 890, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 552) = 60720
GCD(880, 552) = ( 880 x 552 ) / 60720
= 880 / 552
= 880
Step2:
LCM(8, 890) = 3560
GCD(8, 890) = ( 8 x 890 ) / 3560
= 8 / 890
= 8
Step3:
LCM(2, 976) = 976
GCD(2, 976) = ( 2 x 976 ) / 976
= 2 / 976
= 2
So, Greatest Common Divisor of 880, 552, 890, 976 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 552, 890, 976
The greatest common divisor of numbers 880, 552, 890, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 552, 890, 976 is 2.
1. What is the GCD of 880, 552, 890, 976?
GCD of given numbers 880, 552, 890, 976 is 2
2. How to calculate the greatest common divisor of 880, 552, 890, 976?
We can find the highest common divisor of 880, 552, 890, 976 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, 552, 890, 976 i.e 2.
3. How can I use the GCD of 880, 552, 890, 976Calculator?
Out the numbers 880, 552, 890, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.