Online GCD Calculator is useful to find the GCD of 490, 770, 635, 330 quickly. Get the easiest ways to solve the greatest common divisor of 490, 770, 635, 330 i.e 5 in different methods as follows.
Given Input numbers are 490, 770, 635, 330
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 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
GCD of numbers is the greatest common divisor
So, the GCD (490, 770, 635, 330) = 5.
Given numbers are 490, 770, 635, 330
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 635 are 5 x 127
Prime factors of 330 are 2 x 3 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 490, 770, 635, 330 is 5.
Given numbers are 490, 770, 635, 330
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 770) = 5390
GCD(490, 770) = ( 490 x 770 ) / 5390
= 490 / 770
= 490
Step2:
LCM(70, 635) = 8890
GCD(70, 635) = ( 70 x 635 ) / 8890
= 70 / 635
= 70
Step3:
LCM(5, 330) = 330
GCD(5, 330) = ( 5 x 330 ) / 330
= 5 / 330
= 5
So, Greatest Common Divisor of 490, 770, 635, 330 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 770, 635, 330
The greatest common divisor of numbers 490, 770, 635, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 770, 635, 330 is 5.
1. What is the GCD of 490, 770, 635, 330?
GCD of given numbers 490, 770, 635, 330 is 5
2. How to calculate the greatest common divisor of 490, 770, 635, 330?
We can find the highest common divisor of 490, 770, 635, 330 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, 770, 635, 330 i.e 5.
3. How can I use the GCD of 490, 770, 635, 330Calculator?
Out the numbers 490, 770, 635, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.