Online GCD Calculator is useful to find the GCD of 160, 920, 22, 490 quickly. Get the easiest ways to solve the greatest common divisor of 160, 920, 22, 490 i.e 2 in different methods as follows.
Given Input numbers are 160, 920, 22, 490
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
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
GCD of numbers is the greatest common divisor
So, the GCD (160, 920, 22, 490) = 2.
Given numbers are 160, 920, 22, 490
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 22 are 2 x 11
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 160, 920, 22, 490 is 2.
Given numbers are 160, 920, 22, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 920) = 3680
GCD(160, 920) = ( 160 x 920 ) / 3680
= 160 / 920
= 160
Step2:
LCM(40, 22) = 440
GCD(40, 22) = ( 40 x 22 ) / 440
= 40 / 22
= 40
Step3:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
So, Greatest Common Divisor of 160, 920, 22, 490 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 920, 22, 490
The greatest common divisor of numbers 160, 920, 22, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 920, 22, 490 is 2.
1. What is the GCD of 160, 920, 22, 490?
GCD of given numbers 160, 920, 22, 490 is 2
2. How to calculate the greatest common divisor of 160, 920, 22, 490?
We can find the highest common divisor of 160, 920, 22, 490 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 160, 920, 22, 490 i.e 2.
3. How can I use the GCD of 160, 920, 22, 490Calculator?
Out the numbers 160, 920, 22, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.