Online GCD Calculator is useful to find the GCD of 725, 920, 277, 687 quickly. Get the easiest ways to solve the greatest common divisor of 725, 920, 277, 687 i.e 1 in different methods as follows.
Given Input numbers are 725, 920, 277, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 277 :
The positive integer divisors of 277 that completely divides 277 are.
1, 277
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (725, 920, 277, 687) = 1.
Given numbers are 725, 920, 277, 687
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 277 are 277
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 920, 277, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 920) = 133400
GCD(725, 920) = ( 725 x 920 ) / 133400
= 725 / 920
= 725
Step2:
LCM(5, 277) = 1385
GCD(5, 277) = ( 5 x 277 ) / 1385
= 5 / 277
= 5
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 725, 920, 277, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 920, 277, 687
The greatest common divisor of numbers 725, 920, 277, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 920, 277, 687 is 1.
1. What is the GCD of 725, 920, 277, 687?
GCD of given numbers 725, 920, 277, 687 is 1
2. How to calculate the greatest common divisor of 725, 920, 277, 687?
We can find the highest common divisor of 725, 920, 277, 687 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 725, 920, 277, 687 i.e 1.
3. How can I use the GCD of 725, 920, 277, 687Calculator?
Out the numbers 725, 920, 277, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.