Online GCD Calculator is useful to find the GCD of 969, 742, 400, 665 quickly. Get the easiest ways to solve the greatest common divisor of 969, 742, 400, 665 i.e 1 in different methods as follows.
Given Input numbers are 969, 742, 400, 665
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 665 :
The positive integer divisors of 665 that completely divides 665 are.
1, 5, 7, 19, 35, 95, 133, 665
GCD of numbers is the greatest common divisor
So, the GCD (969, 742, 400, 665) = 1.
Given numbers are 969, 742, 400, 665
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 742 are 2 x 7 x 53
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 665 are 5 x 7 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 742, 400, 665
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 742) = 718998
GCD(969, 742) = ( 969 x 742 ) / 718998
= 969 / 742
= 969
Step2:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
Step3:
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
= 1 / 665
= 1
So, Greatest Common Divisor of 969, 742, 400, 665 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 742, 400, 665
The greatest common divisor of numbers 969, 742, 400, 665 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 742, 400, 665 is 1.
1. What is the GCD of 969, 742, 400, 665?
GCD of given numbers 969, 742, 400, 665 is 1
2. How to calculate the greatest common divisor of 969, 742, 400, 665?
We can find the highest common divisor of 969, 742, 400, 665 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 969, 742, 400, 665 i.e 1.
3. How can I use the GCD of 969, 742, 400, 665Calculator?
Out the numbers 969, 742, 400, 665 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.