Online GCD Calculator is useful to find the GCD of 100, 987, 584, 548 quickly. Get the easiest ways to solve the greatest common divisor of 100, 987, 584, 548 i.e 1 in different methods as follows.
Given Input numbers are 100, 987, 584, 548
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 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
GCD of numbers is the greatest common divisor
So, the GCD (100, 987, 584, 548) = 1.
Given numbers are 100, 987, 584, 548
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 987 are 3 x 7 x 47
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 548 are 2 x 2 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 987, 584, 548
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 987) = 98700
GCD(100, 987) = ( 100 x 987 ) / 98700
= 100 / 987
= 100
Step2:
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
= 1 / 584
= 1
Step3:
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
= 1 / 548
= 1
So, Greatest Common Divisor of 100, 987, 584, 548 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 987, 584, 548
The greatest common divisor of numbers 100, 987, 584, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 987, 584, 548 is 1.
1. What is the GCD of 100, 987, 584, 548?
GCD of given numbers 100, 987, 584, 548 is 1
2. How to calculate the greatest common divisor of 100, 987, 584, 548?
We can find the highest common divisor of 100, 987, 584, 548 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, 987, 584, 548 i.e 1.
3. How can I use the GCD of 100, 987, 584, 548Calculator?
Out the numbers 100, 987, 584, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.