Online GCD Calculator is useful to find the GCD of 484, 362, 586, 840 quickly. Get the easiest ways to solve the greatest common divisor of 484, 362, 586, 840 i.e 2 in different methods as follows.
Given Input numbers are 484, 362, 586, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (484, 362, 586, 840) = 2.
Given numbers are 484, 362, 586, 840
The list of prime factors of all numbers are
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 362 are 2 x 181
Prime factors of 586 are 2 x 293
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 484, 362, 586, 840 is 2.
Given numbers are 484, 362, 586, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(484, 362) = 87604
GCD(484, 362) = ( 484 x 362 ) / 87604
= 484 / 362
= 484
Step2:
LCM(2, 586) = 586
GCD(2, 586) = ( 2 x 586 ) / 586
= 2 / 586
= 2
Step3:
LCM(2, 840) = 840
GCD(2, 840) = ( 2 x 840 ) / 840
= 2 / 840
= 2
So, Greatest Common Divisor of 484, 362, 586, 840 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 484, 362, 586, 840
The greatest common divisor of numbers 484, 362, 586, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 362, 586, 840 is 2.
1. What is the GCD of 484, 362, 586, 840?
GCD of given numbers 484, 362, 586, 840 is 2
2. How to calculate the greatest common divisor of 484, 362, 586, 840?
We can find the highest common divisor of 484, 362, 586, 840 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 484, 362, 586, 840 i.e 2.
3. How can I use the GCD of 484, 362, 586, 840Calculator?
Out the numbers 484, 362, 586, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.