Online GCD Calculator is useful to find the GCD of 100, 748, 818, 143 quickly. Get the easiest ways to solve the greatest common divisor of 100, 748, 818, 143 i.e 1 in different methods as follows.
Given Input numbers are 100, 748, 818, 143
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 818 :
The positive integer divisors of 818 that completely divides 818 are.
1, 2, 409, 818
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
GCD of numbers is the greatest common divisor
So, the GCD (100, 748, 818, 143) = 1.
Given numbers are 100, 748, 818, 143
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 818 are 2 x 409
Prime factors of 143 are 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 748, 818, 143
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 748) = 18700
GCD(100, 748) = ( 100 x 748 ) / 18700
= 100 / 748
= 100
Step2:
LCM(4, 818) = 1636
GCD(4, 818) = ( 4 x 818 ) / 1636
= 4 / 818
= 4
Step3:
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
= 2 / 143
= 2
So, Greatest Common Divisor of 100, 748, 818, 143 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 748, 818, 143
The greatest common divisor of numbers 100, 748, 818, 143 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 748, 818, 143 is 1.
1. What is the GCD of 100, 748, 818, 143?
GCD of given numbers 100, 748, 818, 143 is 1
2. How to calculate the greatest common divisor of 100, 748, 818, 143?
We can find the highest common divisor of 100, 748, 818, 143 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, 748, 818, 143 i.e 1.
3. How can I use the GCD of 100, 748, 818, 143Calculator?
Out the numbers 100, 748, 818, 143 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.