Online GCD Calculator is useful to find the GCD of 100, 429, 161, 470 quickly. Get the easiest ways to solve the greatest common divisor of 100, 429, 161, 470 i.e 1 in different methods as follows.
Given Input numbers are 100, 429, 161, 470
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 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (100, 429, 161, 470) = 1.
Given numbers are 100, 429, 161, 470
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 429 are 3 x 11 x 13
Prime factors of 161 are 7 x 23
Prime factors of 470 are 2 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 429, 161, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 429) = 42900
GCD(100, 429) = ( 100 x 429 ) / 42900
= 100 / 429
= 100
Step2:
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
= 1 / 161
= 1
Step3:
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
= 1 / 470
= 1
So, Greatest Common Divisor of 100, 429, 161, 470 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 429, 161, 470
The greatest common divisor of numbers 100, 429, 161, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 429, 161, 470 is 1.
1. What is the GCD of 100, 429, 161, 470?
GCD of given numbers 100, 429, 161, 470 is 1
2. How to calculate the greatest common divisor of 100, 429, 161, 470?
We can find the highest common divisor of 100, 429, 161, 470 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, 429, 161, 470 i.e 1.
3. How can I use the GCD of 100, 429, 161, 470Calculator?
Out the numbers 100, 429, 161, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.