Online GCD Calculator is useful to find the GCD of 720, 292, 685, 100 quickly. Get the easiest ways to solve the greatest common divisor of 720, 292, 685, 100 i.e 1 in different methods as follows.
Given Input numbers are 720, 292, 685, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (720, 292, 685, 100) = 1.
Given numbers are 720, 292, 685, 100
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 292 are 2 x 2 x 73
Prime factors of 685 are 5 x 137
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 292, 685, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 292) = 52560
GCD(720, 292) = ( 720 x 292 ) / 52560
= 720 / 292
= 720
Step2:
LCM(4, 685) = 2740
GCD(4, 685) = ( 4 x 685 ) / 2740
= 4 / 685
= 4
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 720, 292, 685, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 292, 685, 100
The greatest common divisor of numbers 720, 292, 685, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 292, 685, 100 is 1.
1. What is the GCD of 720, 292, 685, 100?
GCD of given numbers 720, 292, 685, 100 is 1
2. How to calculate the greatest common divisor of 720, 292, 685, 100?
We can find the highest common divisor of 720, 292, 685, 100 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 720, 292, 685, 100 i.e 1.
3. How can I use the GCD of 720, 292, 685, 100Calculator?
Out the numbers 720, 292, 685, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.