Online GCD Calculator is useful to find the GCD of 969, 894, 872, 840 quickly. Get the easiest ways to solve the greatest common divisor of 969, 894, 872, 840 i.e 1 in different methods as follows.
Given Input numbers are 969, 894, 872, 840
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (969, 894, 872, 840) = 1.
Given numbers are 969, 894, 872, 840
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 894 are 2 x 3 x 149
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 894, 872, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 894) = 288762
GCD(969, 894) = ( 969 x 894 ) / 288762
= 969 / 894
= 969
Step2:
LCM(3, 872) = 2616
GCD(3, 872) = ( 3 x 872 ) / 2616
= 3 / 872
= 3
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 969, 894, 872, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 894, 872, 840
The greatest common divisor of numbers 969, 894, 872, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 894, 872, 840 is 1.
1. What is the GCD of 969, 894, 872, 840?
GCD of given numbers 969, 894, 872, 840 is 1
2. How to calculate the greatest common divisor of 969, 894, 872, 840?
We can find the highest common divisor of 969, 894, 872, 840 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, 894, 872, 840 i.e 1.
3. How can I use the GCD of 969, 894, 872, 840Calculator?
Out the numbers 969, 894, 872, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.