Online GCD Calculator is useful to find the GCD of 100, 773, 689, 112 quickly. Get the easiest ways to solve the greatest common divisor of 100, 773, 689, 112 i.e 1 in different methods as follows.
Given Input numbers are 100, 773, 689, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 773 :
The positive integer divisors of 773 that completely divides 773 are.
1, 773
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (100, 773, 689, 112) = 1.
Given numbers are 100, 773, 689, 112
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 773 are 773
Prime factors of 689 are 13 x 53
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 773, 689, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 773) = 77300
GCD(100, 773) = ( 100 x 773 ) / 77300
= 100 / 773
= 100
Step2:
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
= 1 / 689
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 100, 773, 689, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 773, 689, 112
The greatest common divisor of numbers 100, 773, 689, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 773, 689, 112 is 1.
1. What is the GCD of 100, 773, 689, 112?
GCD of given numbers 100, 773, 689, 112 is 1
2. How to calculate the greatest common divisor of 100, 773, 689, 112?
We can find the highest common divisor of 100, 773, 689, 112 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 100, 773, 689, 112 i.e 1.
3. How can I use the GCD of 100, 773, 689, 112Calculator?
Out the numbers 100, 773, 689, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.