Online GCD Calculator is useful to find the GCD of 770, 170, 412, 749 quickly. Get the easiest ways to solve the greatest common divisor of 770, 170, 412, 749 i.e 1 in different methods as follows.
Given Input numbers are 770, 170, 412, 749
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 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (770, 170, 412, 749) = 1.
Given numbers are 770, 170, 412, 749
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 170 are 2 x 5 x 17
Prime factors of 412 are 2 x 2 x 103
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 770, 170, 412, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 170) = 13090
GCD(770, 170) = ( 770 x 170 ) / 13090
= 770 / 170
= 770
Step2:
LCM(10, 412) = 2060
GCD(10, 412) = ( 10 x 412 ) / 2060
= 10 / 412
= 10
Step3:
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
= 2 / 749
= 2
So, Greatest Common Divisor of 770, 170, 412, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 170, 412, 749
The greatest common divisor of numbers 770, 170, 412, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 170, 412, 749 is 1.
1. What is the GCD of 770, 170, 412, 749?
GCD of given numbers 770, 170, 412, 749 is 1
2. How to calculate the greatest common divisor of 770, 170, 412, 749?
We can find the highest common divisor of 770, 170, 412, 749 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, 170, 412, 749 i.e 1.
3. How can I use the GCD of 770, 170, 412, 749Calculator?
Out the numbers 770, 170, 412, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.