Online GCD Calculator is useful to find the GCD of 687, 870, 880, 725 quickly. Get the easiest ways to solve the greatest common divisor of 687, 870, 880, 725 i.e 1 in different methods as follows.
Given Input numbers are 687, 870, 880, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
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
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (687, 870, 880, 725) = 1.
Given numbers are 687, 870, 880, 725
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 725 are 5 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 687, 870, 880, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 870) = 199230
GCD(687, 870) = ( 687 x 870 ) / 199230
= 687 / 870
= 687
Step2:
LCM(3, 880) = 2640
GCD(3, 880) = ( 3 x 880 ) / 2640
= 3 / 880
= 3
Step3:
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
= 1 / 725
= 1
So, Greatest Common Divisor of 687, 870, 880, 725 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 870, 880, 725
The greatest common divisor of numbers 687, 870, 880, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 870, 880, 725 is 1.
1. What is the GCD of 687, 870, 880, 725?
GCD of given numbers 687, 870, 880, 725 is 1
2. How to calculate the greatest common divisor of 687, 870, 880, 725?
We can find the highest common divisor of 687, 870, 880, 725 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 687, 870, 880, 725 i.e 1.
3. How can I use the GCD of 687, 870, 880, 725Calculator?
Out the numbers 687, 870, 880, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.