Online GCD Calculator is useful to find the GCD of 490, 140, 530 quickly. Get the easiest ways to solve the greatest common divisor of 490, 140, 530 i.e 10 in different methods as follows.
Given Input numbers are 490, 140, 530
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 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
GCD of numbers is the greatest common divisor
So, the GCD (490, 140, 530) = 10.
Given numbers are 490, 140, 530
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 530 are 2 x 5 x 53
The highest common occurrence is 21 x 51
Therefore, GCD of 490, 140, 530 is 10.
Given numbers are 490, 140, 530
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 140) = 980
GCD(490, 140) = ( 490 x 140 ) / 980
= 490 / 140
= 490
Step2:
LCM(70, 530) = 3710
GCD(70, 530) = ( 70 x 530 ) / 3710
= 70 / 530
= 70
So, Greatest Common Divisor of 490, 140, 530 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 140, 530
The greatest common divisor of numbers 490, 140, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 140, 530 is 10.
1. What is the GCD of 490, 140, 530?
GCD of given numbers 490, 140, 530 is 10
2. How to calculate the greatest common divisor of 490, 140, 530?
We can find the highest common divisor of 490, 140, 530 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, 140, 530 i.e 10.
3. How can I use the GCD of 490, 140, 530Calculator?
Out the numbers 490, 140, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.