Online GCD Calculator is useful to find the GCD of 987, 936, 758, 442 quickly. Get the easiest ways to solve the greatest common divisor of 987, 936, 758, 442 i.e 1 in different methods as follows.
Given Input numbers are 987, 936, 758, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
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 (987, 936, 758, 442) = 1.
Given numbers are 987, 936, 758, 442
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 758 are 2 x 379
Prime factors of 442 are 2 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 936, 758, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 936) = 307944
GCD(987, 936) = ( 987 x 936 ) / 307944
= 987 / 936
= 987
Step2:
LCM(3, 758) = 2274
GCD(3, 758) = ( 3 x 758 ) / 2274
= 3 / 758
= 3
Step3:
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
= 1 / 442
= 1
So, Greatest Common Divisor of 987, 936, 758, 442 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 936, 758, 442
The greatest common divisor of numbers 987, 936, 758, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 936, 758, 442 is 1.
1. What is the GCD of 987, 936, 758, 442?
GCD of given numbers 987, 936, 758, 442 is 1
2. How to calculate the greatest common divisor of 987, 936, 758, 442?
We can find the highest common divisor of 987, 936, 758, 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 987, 936, 758, 442 i.e 1.
3. How can I use the GCD of 987, 936, 758, 442Calculator?
Out the numbers 987, 936, 758, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.