Online GCD Calculator is useful to find the GCD of 100, 538, 704, 985 quickly. Get the easiest ways to solve the greatest common divisor of 100, 538, 704, 985 i.e 1 in different methods as follows.
Given Input numbers are 100, 538, 704, 985
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 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 985 :
The positive integer divisors of 985 that completely divides 985 are.
1, 5, 197, 985
GCD of numbers is the greatest common divisor
So, the GCD (100, 538, 704, 985) = 1.
Given numbers are 100, 538, 704, 985
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 538 are 2 x 269
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 985 are 5 x 197
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 538, 704, 985
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 538) = 26900
GCD(100, 538) = ( 100 x 538 ) / 26900
= 100 / 538
= 100
Step2:
LCM(2, 704) = 704
GCD(2, 704) = ( 2 x 704 ) / 704
= 2 / 704
= 2
Step3:
LCM(2, 985) = 1970
GCD(2, 985) = ( 2 x 985 ) / 1970
= 2 / 985
= 2
So, Greatest Common Divisor of 100, 538, 704, 985 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 538, 704, 985
The greatest common divisor of numbers 100, 538, 704, 985 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 538, 704, 985 is 1.
1. What is the GCD of 100, 538, 704, 985?
GCD of given numbers 100, 538, 704, 985 is 1
2. How to calculate the greatest common divisor of 100, 538, 704, 985?
We can find the highest common divisor of 100, 538, 704, 985 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, 538, 704, 985 i.e 1.
3. How can I use the GCD of 100, 538, 704, 985Calculator?
Out the numbers 100, 538, 704, 985 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.