Online GCD Calculator is useful to find the GCD of 945, 689, 824, 921 quickly. Get the easiest ways to solve the greatest common divisor of 945, 689, 824, 921 i.e 1 in different methods as follows.
Given Input numbers are 945, 689, 824, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (945, 689, 824, 921) = 1.
Given numbers are 945, 689, 824, 921
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 689 are 13 x 53
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 945, 689, 824, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 689) = 651105
GCD(945, 689) = ( 945 x 689 ) / 651105
= 945 / 689
= 945
Step2:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
Step3:
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
= 1 / 921
= 1
So, Greatest Common Divisor of 945, 689, 824, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 945, 689, 824, 921
The greatest common divisor of numbers 945, 689, 824, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 689, 824, 921 is 1.
1. What is the GCD of 945, 689, 824, 921?
GCD of given numbers 945, 689, 824, 921 is 1
2. How to calculate the greatest common divisor of 945, 689, 824, 921?
We can find the highest common divisor of 945, 689, 824, 921 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 945, 689, 824, 921 i.e 1.
3. How can I use the GCD of 945, 689, 824, 921Calculator?
Out the numbers 945, 689, 824, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.