Online GCD Calculator is useful to find the GCD of 470, 650, 670, 160 quickly. Get the easiest ways to solve the greatest common divisor of 470, 650, 670, 160 i.e 10 in different methods as follows.
Given Input numbers are 470, 650, 670, 160
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 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (470, 650, 670, 160) = 10.
Given numbers are 470, 650, 670, 160
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 670 are 2 x 5 x 67
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 470, 650, 670, 160 is 10.
Given numbers are 470, 650, 670, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 650) = 30550
GCD(470, 650) = ( 470 x 650 ) / 30550
= 470 / 650
= 470
Step2:
LCM(10, 670) = 670
GCD(10, 670) = ( 10 x 670 ) / 670
= 10 / 670
= 10
Step3:
LCM(10, 160) = 160
GCD(10, 160) = ( 10 x 160 ) / 160
= 10 / 160
= 10
So, Greatest Common Divisor of 470, 650, 670, 160 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 470, 650, 670, 160
The greatest common divisor of numbers 470, 650, 670, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 650, 670, 160 is 10.
1. What is the GCD of 470, 650, 670, 160?
GCD of given numbers 470, 650, 670, 160 is 10
2. How to calculate the greatest common divisor of 470, 650, 670, 160?
We can find the highest common divisor of 470, 650, 670, 160 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, 650, 670, 160 i.e 10.
3. How can I use the GCD of 470, 650, 670, 160Calculator?
Out the numbers 470, 650, 670, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.