Online GCD Calculator is useful to find the GCD of 675, 697, 945, 113 quickly. Get the easiest ways to solve the greatest common divisor of 675, 697, 945, 113 i.e 1 in different methods as follows.
Given Input numbers are 675, 697, 945, 113
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
GCD of numbers is the greatest common divisor
So, the GCD (675, 697, 945, 113) = 1.
Given numbers are 675, 697, 945, 113
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 697 are 17 x 41
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 113 are 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 697, 945, 113
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 697) = 470475
GCD(675, 697) = ( 675 x 697 ) / 470475
= 675 / 697
= 675
Step2:
LCM(1, 945) = 945
GCD(1, 945) = ( 1 x 945 ) / 945
= 1 / 945
= 1
Step3:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
So, Greatest Common Divisor of 675, 697, 945, 113 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 697, 945, 113
The greatest common divisor of numbers 675, 697, 945, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 697, 945, 113 is 1.
1. What is the GCD of 675, 697, 945, 113?
GCD of given numbers 675, 697, 945, 113 is 1
2. How to calculate the greatest common divisor of 675, 697, 945, 113?
We can find the highest common divisor of 675, 697, 945, 113 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 675, 697, 945, 113 i.e 1.
3. How can I use the GCD of 675, 697, 945, 113Calculator?
Out the numbers 675, 697, 945, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.