Online GCD Calculator is useful to find the GCD of 969, 100, 747, 231 quickly. Get the easiest ways to solve the greatest common divisor of 969, 100, 747, 231 i.e 1 in different methods as follows.
Given Input numbers are 969, 100, 747, 231
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (969, 100, 747, 231) = 1.
Given numbers are 969, 100, 747, 231
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 747 are 3 x 3 x 83
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 100, 747, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 100) = 96900
GCD(969, 100) = ( 969 x 100 ) / 96900
= 969 / 100
= 969
Step2:
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
= 1 / 747
= 1
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 969, 100, 747, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 100, 747, 231
The greatest common divisor of numbers 969, 100, 747, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 100, 747, 231 is 1.
1. What is the GCD of 969, 100, 747, 231?
GCD of given numbers 969, 100, 747, 231 is 1
2. How to calculate the greatest common divisor of 969, 100, 747, 231?
We can find the highest common divisor of 969, 100, 747, 231 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, 100, 747, 231 i.e 1.
3. How can I use the GCD of 969, 100, 747, 231Calculator?
Out the numbers 969, 100, 747, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.