Online GCD Calculator is useful to find the GCD of 770, 964, 289, 209 quickly. Get the easiest ways to solve the greatest common divisor of 770, 964, 289, 209 i.e 1 in different methods as follows.
Given Input numbers are 770, 964, 289, 209
In the factoring method, we have to find the divisors of all numbers
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
GCD of numbers is the greatest common divisor
So, the GCD (770, 964, 289, 209) = 1.
Given numbers are 770, 964, 289, 209
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 964 are 2 x 2 x 241
Prime factors of 289 are 17 x 17
Prime factors of 209 are 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 770, 964, 289, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 964) = 371140
GCD(770, 964) = ( 770 x 964 ) / 371140
= 770 / 964
= 770
Step2:
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
= 2 / 289
= 2
Step3:
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
= 1 / 209
= 1
So, Greatest Common Divisor of 770, 964, 289, 209 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 964, 289, 209
The greatest common divisor of numbers 770, 964, 289, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 964, 289, 209 is 1.
1. What is the GCD of 770, 964, 289, 209?
GCD of given numbers 770, 964, 289, 209 is 1
2. How to calculate the greatest common divisor of 770, 964, 289, 209?
We can find the highest common divisor of 770, 964, 289, 209 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 770, 964, 289, 209 i.e 1.
3. How can I use the GCD of 770, 964, 289, 209Calculator?
Out the numbers 770, 964, 289, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.