Online GCD Calculator is useful to find the GCD of 969, 700, 289, 648 quickly. Get the easiest ways to solve the greatest common divisor of 969, 700, 289, 648 i.e 1 in different methods as follows.
Given Input numbers are 969, 700, 289, 648
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 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (969, 700, 289, 648) = 1.
Given numbers are 969, 700, 289, 648
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 289 are 17 x 17
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 969, 700, 289, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 700) = 678300
GCD(969, 700) = ( 969 x 700 ) / 678300
= 969 / 700
= 969
Step2:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
Step3:
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
= 1 / 648
= 1
So, Greatest Common Divisor of 969, 700, 289, 648 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 969, 700, 289, 648
The greatest common divisor of numbers 969, 700, 289, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 700, 289, 648 is 1.
1. What is the GCD of 969, 700, 289, 648?
GCD of given numbers 969, 700, 289, 648 is 1
2. How to calculate the greatest common divisor of 969, 700, 289, 648?
We can find the highest common divisor of 969, 700, 289, 648 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, 700, 289, 648 i.e 1.
3. How can I use the GCD of 969, 700, 289, 648Calculator?
Out the numbers 969, 700, 289, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.