Online GCD Calculator is useful to find the GCD of 470, 400, 448, 670 quickly. Get the easiest ways to solve the greatest common divisor of 470, 400, 448, 670 i.e 2 in different methods as follows.
Given Input numbers are 470, 400, 448, 670
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
GCD of numbers is the greatest common divisor
So, the GCD (470, 400, 448, 670) = 2.
Given numbers are 470, 400, 448, 670
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 670 are 2 x 5 x 67
The highest common occurrence is 21
Therefore, GCD of 470, 400, 448, 670 is 2.
Given numbers are 470, 400, 448, 670
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 400) = 18800
GCD(470, 400) = ( 470 x 400 ) / 18800
= 470 / 400
= 470
Step2:
LCM(10, 448) = 2240
GCD(10, 448) = ( 10 x 448 ) / 2240
= 10 / 448
= 10
Step3:
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
= 2 / 670
= 2
So, Greatest Common Divisor of 470, 400, 448, 670 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 400, 448, 670
The greatest common divisor of numbers 470, 400, 448, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 400, 448, 670 is 2.
1. What is the GCD of 470, 400, 448, 670?
GCD of given numbers 470, 400, 448, 670 is 2
2. How to calculate the greatest common divisor of 470, 400, 448, 670?
We can find the highest common divisor of 470, 400, 448, 670 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, 400, 448, 670 i.e 2.
3. How can I use the GCD of 470, 400, 448, 670Calculator?
Out the numbers 470, 400, 448, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.