Online GCD Calculator is useful to find the GCD of 584, 506, 100, 490 quickly. Get the easiest ways to solve the greatest common divisor of 584, 506, 100, 490 i.e 2 in different methods as follows.
Given Input numbers are 584, 506, 100, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (584, 506, 100, 490) = 2.
Given numbers are 584, 506, 100, 490
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 506 are 2 x 11 x 23
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 584, 506, 100, 490 is 2.
Given numbers are 584, 506, 100, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 506) = 147752
GCD(584, 506) = ( 584 x 506 ) / 147752
= 584 / 506
= 584
Step2:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 584, 506, 100, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 506, 100, 490
The greatest common divisor of numbers 584, 506, 100, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 506, 100, 490 is 2.
1. What is the GCD of 584, 506, 100, 490?
GCD of given numbers 584, 506, 100, 490 is 2
2. How to calculate the greatest common divisor of 584, 506, 100, 490?
We can find the highest common divisor of 584, 506, 100, 490 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 584, 506, 100, 490 i.e 2.
3. How can I use the GCD of 584, 506, 100, 490Calculator?
Out the numbers 584, 506, 100, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.