Online GCD Calculator is useful to find the GCD of 880, 452, 490, 400 quickly. Get the easiest ways to solve the greatest common divisor of 880, 452, 490, 400 i.e 2 in different methods as follows.
Given Input numbers are 880, 452, 490, 400
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 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (880, 452, 490, 400) = 2.
Given numbers are 880, 452, 490, 400
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 452 are 2 x 2 x 113
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 880, 452, 490, 400 is 2.
Given numbers are 880, 452, 490, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(880, 452) = 99440
GCD(880, 452) = ( 880 x 452 ) / 99440
= 880 / 452
= 880
Step2:
LCM(4, 490) = 980
GCD(4, 490) = ( 4 x 490 ) / 980
= 4 / 490
= 4
Step3:
LCM(2, 400) = 400
GCD(2, 400) = ( 2 x 400 ) / 400
= 2 / 400
= 2
So, Greatest Common Divisor of 880, 452, 490, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 880, 452, 490, 400
The greatest common divisor of numbers 880, 452, 490, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 452, 490, 400 is 2.
1. What is the GCD of 880, 452, 490, 400?
GCD of given numbers 880, 452, 490, 400 is 2
2. How to calculate the greatest common divisor of 880, 452, 490, 400?
We can find the highest common divisor of 880, 452, 490, 400 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, 452, 490, 400 i.e 2.
3. How can I use the GCD of 880, 452, 490, 400Calculator?
Out the numbers 880, 452, 490, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.