Online GCD Calculator is useful to find the GCD of 100, 696, 743 quickly. Get the easiest ways to solve the greatest common divisor of 100, 696, 743 i.e 1 in different methods as follows.
Given Input numbers are 100, 696, 743
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
GCD of numbers is the greatest common divisor
So, the GCD (100, 696, 743) = 1.
Given numbers are 100, 696, 743
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 743 are 743
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 696, 743
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 696) = 17400
GCD(100, 696) = ( 100 x 696 ) / 17400
= 100 / 696
= 100
Step2:
LCM(4, 743) = 2972
GCD(4, 743) = ( 4 x 743 ) / 2972
= 4 / 743
= 4
So, Greatest Common Divisor of 100, 696, 743 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 696, 743
The greatest common divisor of numbers 100, 696, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 696, 743 is 1.
1. What is the GCD of 100, 696, 743?
GCD of given numbers 100, 696, 743 is 1
2. How to calculate the greatest common divisor of 100, 696, 743?
We can find the highest common divisor of 100, 696, 743 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, 696, 743 i.e 1.
3. How can I use the GCD of 100, 696, 743Calculator?
Out the numbers 100, 696, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.