Online GCD Calculator is useful to find the GCD of 100, 432, 721, 154 quickly. Get the easiest ways to solve the greatest common divisor of 100, 432, 721, 154 i.e 1 in different methods as follows.
Given Input numbers are 100, 432, 721, 154
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 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
GCD of numbers is the greatest common divisor
So, the GCD (100, 432, 721, 154) = 1.
Given numbers are 100, 432, 721, 154
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 721 are 7 x 103
Prime factors of 154 are 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 432, 721, 154
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 432) = 10800
GCD(100, 432) = ( 100 x 432 ) / 10800
= 100 / 432
= 100
Step2:
LCM(4, 721) = 2884
GCD(4, 721) = ( 4 x 721 ) / 2884
= 4 / 721
= 4
Step3:
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
= 1 / 154
= 1
So, Greatest Common Divisor of 100, 432, 721, 154 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 432, 721, 154
The greatest common divisor of numbers 100, 432, 721, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 432, 721, 154 is 1.
1. What is the GCD of 100, 432, 721, 154?
GCD of given numbers 100, 432, 721, 154 is 1
2. How to calculate the greatest common divisor of 100, 432, 721, 154?
We can find the highest common divisor of 100, 432, 721, 154 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, 432, 721, 154 i.e 1.
3. How can I use the GCD of 100, 432, 721, 154Calculator?
Out the numbers 100, 432, 721, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.