Online GCD Calculator is useful to find the GCD of 980, 404, 896, 200 quickly. Get the easiest ways to solve the greatest common divisor of 980, 404, 896, 200 i.e 4 in different methods as follows.
Given Input numbers are 980, 404, 896, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (980, 404, 896, 200) = 4.
Given numbers are 980, 404, 896, 200
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 404 are 2 x 2 x 101
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 980, 404, 896, 200 is 4.
Given numbers are 980, 404, 896, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 404) = 98980
GCD(980, 404) = ( 980 x 404 ) / 98980
= 980 / 404
= 980
Step2:
LCM(4, 896) = 896
GCD(4, 896) = ( 4 x 896 ) / 896
= 4 / 896
= 4
Step3:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
So, Greatest Common Divisor of 980, 404, 896, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 404, 896, 200
The greatest common divisor of numbers 980, 404, 896, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 404, 896, 200 is 4.
1. What is the GCD of 980, 404, 896, 200?
GCD of given numbers 980, 404, 896, 200 is 4
2. How to calculate the greatest common divisor of 980, 404, 896, 200?
We can find the highest common divisor of 980, 404, 896, 200 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 980, 404, 896, 200 i.e 4.
3. How can I use the GCD of 980, 404, 896, 200Calculator?
Out the numbers 980, 404, 896, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.