Online GCD Calculator is useful to find the GCD of 125, 280, 697, 310 quickly. Get the easiest ways to solve the greatest common divisor of 125, 280, 697, 310 i.e 1 in different methods as follows.
Given Input numbers are 125, 280, 697, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (125, 280, 697, 310) = 1.
Given numbers are 125, 280, 697, 310
The list of prime factors of all numbers are
Prime factors of 125 are 5 x 5 x 5
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 697 are 17 x 41
Prime factors of 310 are 2 x 5 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 125, 280, 697, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(125, 280) = 7000
GCD(125, 280) = ( 125 x 280 ) / 7000
= 125 / 280
= 125
Step2:
LCM(5, 697) = 3485
GCD(5, 697) = ( 5 x 697 ) / 3485
= 5 / 697
= 5
Step3:
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
= 1 / 310
= 1
So, Greatest Common Divisor of 125, 280, 697, 310 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 125, 280, 697, 310
The greatest common divisor of numbers 125, 280, 697, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 280, 697, 310 is 1.
1. What is the GCD of 125, 280, 697, 310?
GCD of given numbers 125, 280, 697, 310 is 1
2. How to calculate the greatest common divisor of 125, 280, 697, 310?
We can find the highest common divisor of 125, 280, 697, 310 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 125, 280, 697, 310 i.e 1.
3. How can I use the GCD of 125, 280, 697, 310Calculator?
Out the numbers 125, 280, 697, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.