Online GCD Calculator is useful to find the GCD of 670, 900, 376, 160 quickly. Get the easiest ways to solve the greatest common divisor of 670, 900, 376, 160 i.e 2 in different methods as follows.
Given Input numbers are 670, 900, 376, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
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 (670, 900, 376, 160) = 2.
Given numbers are 670, 900, 376, 160
The list of prime factors of all numbers are
Prime factors of 670 are 2 x 5 x 67
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 670, 900, 376, 160 is 2.
Given numbers are 670, 900, 376, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(670, 900) = 60300
GCD(670, 900) = ( 670 x 900 ) / 60300
= 670 / 900
= 670
Step2:
LCM(10, 376) = 1880
GCD(10, 376) = ( 10 x 376 ) / 1880
= 10 / 376
= 10
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 670, 900, 376, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 670, 900, 376, 160
The greatest common divisor of numbers 670, 900, 376, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 900, 376, 160 is 2.
1. What is the GCD of 670, 900, 376, 160?
GCD of given numbers 670, 900, 376, 160 is 2
2. How to calculate the greatest common divisor of 670, 900, 376, 160?
We can find the highest common divisor of 670, 900, 376, 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 670, 900, 376, 160 i.e 2.
3. How can I use the GCD of 670, 900, 376, 160Calculator?
Out the numbers 670, 900, 376, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.