Online GCD Calculator is useful to find the GCD of 490, 748, 225, 947 quickly. Get the easiest ways to solve the greatest common divisor of 490, 748, 225, 947 i.e 1 in different methods as follows.
Given Input numbers are 490, 748, 225, 947
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 947 :
The positive integer divisors of 947 that completely divides 947 are.
1, 947
GCD of numbers is the greatest common divisor
So, the GCD (490, 748, 225, 947) = 1.
Given numbers are 490, 748, 225, 947
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 947 are 947
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 490, 748, 225, 947
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 748) = 183260
GCD(490, 748) = ( 490 x 748 ) / 183260
= 490 / 748
= 490
Step2:
LCM(2, 225) = 450
GCD(2, 225) = ( 2 x 225 ) / 450
= 2 / 225
= 2
Step3:
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
= 1 / 947
= 1
So, Greatest Common Divisor of 490, 748, 225, 947 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 490, 748, 225, 947
The greatest common divisor of numbers 490, 748, 225, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 748, 225, 947 is 1.
1. What is the GCD of 490, 748, 225, 947?
GCD of given numbers 490, 748, 225, 947 is 1
2. How to calculate the greatest common divisor of 490, 748, 225, 947?
We can find the highest common divisor of 490, 748, 225, 947 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, 748, 225, 947 i.e 1.
3. How can I use the GCD of 490, 748, 225, 947Calculator?
Out the numbers 490, 748, 225, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.