Online GCD Calculator is useful to find the GCD of 490, 642, 530, 745 quickly. Get the easiest ways to solve the greatest common divisor of 490, 642, 530, 745 i.e 1 in different methods as follows.
Given Input numbers are 490, 642, 530, 745
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (490, 642, 530, 745) = 1.
Given numbers are 490, 642, 530, 745
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 642 are 2 x 3 x 107
Prime factors of 530 are 2 x 5 x 53
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 642, 530, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 642) = 157290
GCD(490, 642) = ( 490 x 642 ) / 157290
= 490 / 642
= 490
Step2:
LCM(2, 530) = 530
GCD(2, 530) = ( 2 x 530 ) / 530
= 2 / 530
= 2
Step3:
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
= 2 / 745
= 2
So, Greatest Common Divisor of 490, 642, 530, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 642, 530, 745
The greatest common divisor of numbers 490, 642, 530, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 642, 530, 745 is 1.
1. What is the GCD of 490, 642, 530, 745?
GCD of given numbers 490, 642, 530, 745 is 1
2. How to calculate the greatest common divisor of 490, 642, 530, 745?
We can find the highest common divisor of 490, 642, 530, 745 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, 642, 530, 745 i.e 1.
3. How can I use the GCD of 490, 642, 530, 745Calculator?
Out the numbers 490, 642, 530, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.