Online GCD Calculator is useful to find the GCD of 689, 632, 506, 880 quickly. Get the easiest ways to solve the greatest common divisor of 689, 632, 506, 880 i.e 1 in different methods as follows.
Given Input numbers are 689, 632, 506, 880
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 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (689, 632, 506, 880) = 1.
Given numbers are 689, 632, 506, 880
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 506 are 2 x 11 x 23
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 632, 506, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 632) = 435448
GCD(689, 632) = ( 689 x 632 ) / 435448
= 689 / 632
= 689
Step2:
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
= 1 / 506
= 1
Step3:
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
= 1 / 880
= 1
So, Greatest Common Divisor of 689, 632, 506, 880 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 632, 506, 880
The greatest common divisor of numbers 689, 632, 506, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 632, 506, 880 is 1.
1. What is the GCD of 689, 632, 506, 880?
GCD of given numbers 689, 632, 506, 880 is 1
2. How to calculate the greatest common divisor of 689, 632, 506, 880?
We can find the highest common divisor of 689, 632, 506, 880 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, 632, 506, 880 i.e 1.
3. How can I use the GCD of 689, 632, 506, 880Calculator?
Out the numbers 689, 632, 506, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.