Online GCD Calculator is useful to find the GCD of 742, 987, 909, 636 quickly. Get the easiest ways to solve the greatest common divisor of 742, 987, 909, 636 i.e 1 in different methods as follows.
Given Input numbers are 742, 987, 909, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (742, 987, 909, 636) = 1.
Given numbers are 742, 987, 909, 636
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 987 are 3 x 7 x 47
Prime factors of 909 are 3 x 3 x 101
Prime factors of 636 are 2 x 2 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 742, 987, 909, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 987) = 104622
GCD(742, 987) = ( 742 x 987 ) / 104622
= 742 / 987
= 742
Step2:
LCM(7, 909) = 6363
GCD(7, 909) = ( 7 x 909 ) / 6363
= 7 / 909
= 7
Step3:
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
= 1 / 636
= 1
So, Greatest Common Divisor of 742, 987, 909, 636 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 987, 909, 636
The greatest common divisor of numbers 742, 987, 909, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 987, 909, 636 is 1.
1. What is the GCD of 742, 987, 909, 636?
GCD of given numbers 742, 987, 909, 636 is 1
2. How to calculate the greatest common divisor of 742, 987, 909, 636?
We can find the highest common divisor of 742, 987, 909, 636 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 742, 987, 909, 636 i.e 1.
3. How can I use the GCD of 742, 987, 909, 636Calculator?
Out the numbers 742, 987, 909, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.