Online GCD Calculator is useful to find the GCD of 824, 988, 980, 442 quickly. Get the easiest ways to solve the greatest common divisor of 824, 988, 980, 442 i.e 2 in different methods as follows.
Given Input numbers are 824, 988, 980, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (824, 988, 980, 442) = 2.
Given numbers are 824, 988, 980, 442
The list of prime factors of all numbers are
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 824, 988, 980, 442 is 2.
Given numbers are 824, 988, 980, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(824, 988) = 203528
GCD(824, 988) = ( 824 x 988 ) / 203528
= 824 / 988
= 824
Step2:
LCM(4, 980) = 980
GCD(4, 980) = ( 4 x 980 ) / 980
= 4 / 980
= 4
Step3:
LCM(4, 442) = 884
GCD(4, 442) = ( 4 x 442 ) / 884
= 4 / 442
= 4
So, Greatest Common Divisor of 824, 988, 980, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 824, 988, 980, 442
The greatest common divisor of numbers 824, 988, 980, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 988, 980, 442 is 2.
1. What is the GCD of 824, 988, 980, 442?
GCD of given numbers 824, 988, 980, 442 is 2
2. How to calculate the greatest common divisor of 824, 988, 980, 442?
We can find the highest common divisor of 824, 988, 980, 442 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 824, 988, 980, 442 i.e 2.
3. How can I use the GCD of 824, 988, 980, 442Calculator?
Out the numbers 824, 988, 980, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.