Online GCD Calculator is useful to find the GCD of 490, 210, 312, 100 quickly. Get the easiest ways to solve the greatest common divisor of 490, 210, 312, 100 i.e 2 in different methods as follows.
Given Input numbers are 490, 210, 312, 100
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (490, 210, 312, 100) = 2.
Given numbers are 490, 210, 312, 100
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 490, 210, 312, 100 is 2.
Given numbers are 490, 210, 312, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 210) = 1470
GCD(490, 210) = ( 490 x 210 ) / 1470
= 490 / 210
= 490
Step2:
LCM(70, 312) = 10920
GCD(70, 312) = ( 70 x 312 ) / 10920
= 70 / 312
= 70
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 490, 210, 312, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 210, 312, 100
The greatest common divisor of numbers 490, 210, 312, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 210, 312, 100 is 2.
1. What is the GCD of 490, 210, 312, 100?
GCD of given numbers 490, 210, 312, 100 is 2
2. How to calculate the greatest common divisor of 490, 210, 312, 100?
We can find the highest common divisor of 490, 210, 312, 100 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 490, 210, 312, 100 i.e 2.
3. How can I use the GCD of 490, 210, 312, 100Calculator?
Out the numbers 490, 210, 312, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.