Online GCD Calculator is useful to find the GCD of 100, 200, 480, 921 quickly. Get the easiest ways to solve the greatest common divisor of 100, 200, 480, 921 i.e 1 in different methods as follows.
Given Input numbers are 100, 200, 480, 921
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (100, 200, 480, 921) = 1.
Given numbers are 100, 200, 480, 921
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 200, 480, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 200) = 200
GCD(100, 200) = ( 100 x 200 ) / 200
= 100 / 200
= 100
Step2:
LCM(100, 480) = 2400
GCD(100, 480) = ( 100 x 480 ) / 2400
= 100 / 480
= 100
Step3:
LCM(20, 921) = 18420
GCD(20, 921) = ( 20 x 921 ) / 18420
= 20 / 921
= 20
So, Greatest Common Divisor of 100, 200, 480, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 200, 480, 921
The greatest common divisor of numbers 100, 200, 480, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 200, 480, 921 is 1.
1. What is the GCD of 100, 200, 480, 921?
GCD of given numbers 100, 200, 480, 921 is 1
2. How to calculate the greatest common divisor of 100, 200, 480, 921?
We can find the highest common divisor of 100, 200, 480, 921 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, 200, 480, 921 i.e 1.
3. How can I use the GCD of 100, 200, 480, 921Calculator?
Out the numbers 100, 200, 480, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.