Online GCD Calculator is useful to find the GCD of 100, 801, 291, 687 quickly. Get the easiest ways to solve the greatest common divisor of 100, 801, 291, 687 i.e 1 in different methods as follows.
Given Input numbers are 100, 801, 291, 687
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 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (100, 801, 291, 687) = 1.
Given numbers are 100, 801, 291, 687
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 801 are 3 x 3 x 89
Prime factors of 291 are 3 x 97
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 801, 291, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 801) = 80100
GCD(100, 801) = ( 100 x 801 ) / 80100
= 100 / 801
= 100
Step2:
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
= 1 / 291
= 1
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 100, 801, 291, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 801, 291, 687
The greatest common divisor of numbers 100, 801, 291, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 801, 291, 687 is 1.
1. What is the GCD of 100, 801, 291, 687?
GCD of given numbers 100, 801, 291, 687 is 1
2. How to calculate the greatest common divisor of 100, 801, 291, 687?
We can find the highest common divisor of 100, 801, 291, 687 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, 801, 291, 687 i.e 1.
3. How can I use the GCD of 100, 801, 291, 687Calculator?
Out the numbers 100, 801, 291, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.