Online GCD Calculator is useful to find the GCD of 878, 704, 490 quickly. Get the easiest ways to solve the greatest common divisor of 878, 704, 490 i.e 2 in different methods as follows.
Given Input numbers are 878, 704, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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 (878, 704, 490) = 2.
Given numbers are 878, 704, 490
The list of prime factors of all numbers are
Prime factors of 878 are 2 x 439
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 878, 704, 490 is 2.
Given numbers are 878, 704, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(878, 704) = 309056
GCD(878, 704) = ( 878 x 704 ) / 309056
= 878 / 704
= 878
Step2:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 878, 704, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 878, 704, 490
The greatest common divisor of numbers 878, 704, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 704, 490 is 2.
1. What is the GCD of 878, 704, 490?
GCD of given numbers 878, 704, 490 is 2
2. How to calculate the greatest common divisor of 878, 704, 490?
We can find the highest common divisor of 878, 704, 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 878, 704, 490 i.e 2.
3. How can I use the GCD of 878, 704, 490Calculator?
Out the numbers 878, 704, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.