Online GCD Calculator is useful to find the GCD of 676, 970, 827, 986 quickly. Get the easiest ways to solve the greatest common divisor of 676, 970, 827, 986 i.e 1 in different methods as follows.
Given Input numbers are 676, 970, 827, 986
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 827 :
The positive integer divisors of 827 that completely divides 827 are.
1, 827
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (676, 970, 827, 986) = 1.
Given numbers are 676, 970, 827, 986
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 970 are 2 x 5 x 97
Prime factors of 827 are 827
Prime factors of 986 are 2 x 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 676, 970, 827, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 970) = 327860
GCD(676, 970) = ( 676 x 970 ) / 327860
= 676 / 970
= 676
Step2:
LCM(2, 827) = 1654
GCD(2, 827) = ( 2 x 827 ) / 1654
= 2 / 827
= 2
Step3:
LCM(1, 986) = 986
GCD(1, 986) = ( 1 x 986 ) / 986
= 1 / 986
= 1
So, Greatest Common Divisor of 676, 970, 827, 986 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 970, 827, 986
The greatest common divisor of numbers 676, 970, 827, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 970, 827, 986 is 1.
1. What is the GCD of 676, 970, 827, 986?
GCD of given numbers 676, 970, 827, 986 is 1
2. How to calculate the greatest common divisor of 676, 970, 827, 986?
We can find the highest common divisor of 676, 970, 827, 986 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 676, 970, 827, 986 i.e 1.
3. How can I use the GCD of 676, 970, 827, 986Calculator?
Out the numbers 676, 970, 827, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.