Online GCD Calculator is useful to find the GCD of 620, 814, 312, 490 quickly. Get the easiest ways to solve the greatest common divisor of 620, 814, 312, 490 i.e 2 in different methods as follows.
Given Input numbers are 620, 814, 312, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 (620, 814, 312, 490) = 2.
Given numbers are 620, 814, 312, 490
The list of prime factors of all numbers are
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 814 are 2 x 11 x 37
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 620, 814, 312, 490 is 2.
Given numbers are 620, 814, 312, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(620, 814) = 252340
GCD(620, 814) = ( 620 x 814 ) / 252340
= 620 / 814
= 620
Step2:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 620, 814, 312, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 620, 814, 312, 490
The greatest common divisor of numbers 620, 814, 312, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 814, 312, 490 is 2.
1. What is the GCD of 620, 814, 312, 490?
GCD of given numbers 620, 814, 312, 490 is 2
2. How to calculate the greatest common divisor of 620, 814, 312, 490?
We can find the highest common divisor of 620, 814, 312, 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 620, 814, 312, 490 i.e 2.
3. How can I use the GCD of 620, 814, 312, 490Calculator?
Out the numbers 620, 814, 312, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.