Online GCD Calculator is useful to find the GCD of 770, 266, 704, 422 quickly. Get the easiest ways to solve the greatest common divisor of 770, 266, 704, 422 i.e 2 in different methods as follows.
Given Input numbers are 770, 266, 704, 422
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 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (770, 266, 704, 422) = 2.
Given numbers are 770, 266, 704, 422
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 266 are 2 x 7 x 19
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 770, 266, 704, 422 is 2.
Given numbers are 770, 266, 704, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 266) = 14630
GCD(770, 266) = ( 770 x 266 ) / 14630
= 770 / 266
= 770
Step2:
LCM(14, 704) = 4928
GCD(14, 704) = ( 14 x 704 ) / 4928
= 14 / 704
= 14
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 770, 266, 704, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 266, 704, 422
The greatest common divisor of numbers 770, 266, 704, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 266, 704, 422 is 2.
1. What is the GCD of 770, 266, 704, 422?
GCD of given numbers 770, 266, 704, 422 is 2
2. How to calculate the greatest common divisor of 770, 266, 704, 422?
We can find the highest common divisor of 770, 266, 704, 422 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, 266, 704, 422 i.e 2.
3. How can I use the GCD of 770, 266, 704, 422Calculator?
Out the numbers 770, 266, 704, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.