Online GCD Calculator is useful to find the GCD of 936, 698, 574, 987 quickly. Get the easiest ways to solve the greatest common divisor of 936, 698, 574, 987 i.e 1 in different methods as follows.
Given Input numbers are 936, 698, 574, 987
In the factoring method, we have to find the divisors of all numbers
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 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 574 :
The positive integer divisors of 574 that completely divides 574 are.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (936, 698, 574, 987) = 1.
Given numbers are 936, 698, 574, 987
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 698 are 2 x 349
Prime factors of 574 are 2 x 7 x 41
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 936, 698, 574, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 698) = 326664
GCD(936, 698) = ( 936 x 698 ) / 326664
= 936 / 698
= 936
Step2:
LCM(2, 574) = 574
GCD(2, 574) = ( 2 x 574 ) / 574
= 2 / 574
= 2
Step3:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
So, Greatest Common Divisor of 936, 698, 574, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 698, 574, 987
The greatest common divisor of numbers 936, 698, 574, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 698, 574, 987 is 1.
1. What is the GCD of 936, 698, 574, 987?
GCD of given numbers 936, 698, 574, 987 is 1
2. How to calculate the greatest common divisor of 936, 698, 574, 987?
We can find the highest common divisor of 936, 698, 574, 987 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 936, 698, 574, 987 i.e 1.
3. How can I use the GCD of 936, 698, 574, 987Calculator?
Out the numbers 936, 698, 574, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.