Online GCD Calculator is useful to find the GCD of 470, 670, 282, 248 quickly. Get the easiest ways to solve the greatest common divisor of 470, 670, 282, 248 i.e 2 in different methods as follows.
Given Input numbers are 470, 670, 282, 248
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
GCD of numbers is the greatest common divisor
So, the GCD (470, 670, 282, 248) = 2.
Given numbers are 470, 670, 282, 248
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 670 are 2 x 5 x 67
Prime factors of 282 are 2 x 3 x 47
Prime factors of 248 are 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 470, 670, 282, 248 is 2.
Given numbers are 470, 670, 282, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 670) = 31490
GCD(470, 670) = ( 470 x 670 ) / 31490
= 470 / 670
= 470
Step2:
LCM(10, 282) = 1410
GCD(10, 282) = ( 10 x 282 ) / 1410
= 10 / 282
= 10
Step3:
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
= 2 / 248
= 2
So, Greatest Common Divisor of 470, 670, 282, 248 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 670, 282, 248
The greatest common divisor of numbers 470, 670, 282, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 670, 282, 248 is 2.
1. What is the GCD of 470, 670, 282, 248?
GCD of given numbers 470, 670, 282, 248 is 2
2. How to calculate the greatest common divisor of 470, 670, 282, 248?
We can find the highest common divisor of 470, 670, 282, 248 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 470, 670, 282, 248 i.e 2.
3. How can I use the GCD of 470, 670, 282, 248Calculator?
Out the numbers 470, 670, 282, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.