Online GCD Calculator is useful to find the GCD of 770, 314, 484, 991 quickly. Get the easiest ways to solve the greatest common divisor of 770, 314, 484, 991 i.e 1 in different methods as follows.
Given Input numbers are 770, 314, 484, 991
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
GCD of numbers is the greatest common divisor
So, the GCD (770, 314, 484, 991) = 1.
Given numbers are 770, 314, 484, 991
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 314 are 2 x 157
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 991 are 991
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 770, 314, 484, 991
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 314) = 120890
GCD(770, 314) = ( 770 x 314 ) / 120890
= 770 / 314
= 770
Step2:
LCM(2, 484) = 484
GCD(2, 484) = ( 2 x 484 ) / 484
= 2 / 484
= 2
Step3:
LCM(2, 991) = 1982
GCD(2, 991) = ( 2 x 991 ) / 1982
= 2 / 991
= 2
So, Greatest Common Divisor of 770, 314, 484, 991 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 314, 484, 991
The greatest common divisor of numbers 770, 314, 484, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 314, 484, 991 is 1.
1. What is the GCD of 770, 314, 484, 991?
GCD of given numbers 770, 314, 484, 991 is 1
2. How to calculate the greatest common divisor of 770, 314, 484, 991?
We can find the highest common divisor of 770, 314, 484, 991 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, 314, 484, 991 i.e 1.
3. How can I use the GCD of 770, 314, 484, 991Calculator?
Out the numbers 770, 314, 484, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.