Online GCD Calculator is useful to find the GCD of 689, 117, 761, 862 quickly. Get the easiest ways to solve the greatest common divisor of 689, 117, 761, 862 i.e 1 in different methods as follows.
Given Input numbers are 689, 117, 761, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (689, 117, 761, 862) = 1.
Given numbers are 689, 117, 761, 862
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 117 are 3 x 3 x 13
Prime factors of 761 are 761
Prime factors of 862 are 2 x 431
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 117, 761, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 117) = 6201
GCD(689, 117) = ( 689 x 117 ) / 6201
= 689 / 117
= 689
Step2:
LCM(13, 761) = 9893
GCD(13, 761) = ( 13 x 761 ) / 9893
= 13 / 761
= 13
Step3:
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
= 1 / 862
= 1
So, Greatest Common Divisor of 689, 117, 761, 862 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 117, 761, 862
The greatest common divisor of numbers 689, 117, 761, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 117, 761, 862 is 1.
1. What is the GCD of 689, 117, 761, 862?
GCD of given numbers 689, 117, 761, 862 is 1
2. How to calculate the greatest common divisor of 689, 117, 761, 862?
We can find the highest common divisor of 689, 117, 761, 862 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 689, 117, 761, 862 i.e 1.
3. How can I use the GCD of 689, 117, 761, 862Calculator?
Out the numbers 689, 117, 761, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.