Online GCD Calculator is useful to find the GCD of 100, 628, 179, 107 quickly. Get the easiest ways to solve the greatest common divisor of 100, 628, 179, 107 i.e 1 in different methods as follows.
Given Input numbers are 100, 628, 179, 107
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 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 179 :
The positive integer divisors of 179 that completely divides 179 are.
1, 179
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (100, 628, 179, 107) = 1.
Given numbers are 100, 628, 179, 107
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 628 are 2 x 2 x 157
Prime factors of 179 are 179
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 628, 179, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 628) = 15700
GCD(100, 628) = ( 100 x 628 ) / 15700
= 100 / 628
= 100
Step2:
LCM(4, 179) = 716
GCD(4, 179) = ( 4 x 179 ) / 716
= 4 / 179
= 4
Step3:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
So, Greatest Common Divisor of 100, 628, 179, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 628, 179, 107
The greatest common divisor of numbers 100, 628, 179, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 628, 179, 107 is 1.
1. What is the GCD of 100, 628, 179, 107?
GCD of given numbers 100, 628, 179, 107 is 1
2. How to calculate the greatest common divisor of 100, 628, 179, 107?
We can find the highest common divisor of 100, 628, 179, 107 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, 628, 179, 107 i.e 1.
3. How can I use the GCD of 100, 628, 179, 107Calculator?
Out the numbers 100, 628, 179, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.