Online GCD Calculator is useful to find the GCD of 220, 494, 71, 320 quickly. Get the easiest ways to solve the greatest common divisor of 220, 494, 71, 320 i.e 1 in different methods as follows.
Given Input numbers are 220, 494, 71, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 494 :
The positive integer divisors of 494 that completely divides 494 are.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (220, 494, 71, 320) = 1.
Given numbers are 220, 494, 71, 320
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 494 are 2 x 13 x 19
Prime factors of 71 are 71
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 220, 494, 71, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 494) = 54340
GCD(220, 494) = ( 220 x 494 ) / 54340
= 220 / 494
= 220
Step2:
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
= 2 / 71
= 2
Step3:
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
= 1 / 320
= 1
So, Greatest Common Divisor of 220, 494, 71, 320 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 494, 71, 320
The greatest common divisor of numbers 220, 494, 71, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 494, 71, 320 is 1.
1. What is the GCD of 220, 494, 71, 320?
GCD of given numbers 220, 494, 71, 320 is 1
2. How to calculate the greatest common divisor of 220, 494, 71, 320?
We can find the highest common divisor of 220, 494, 71, 320 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 220, 494, 71, 320 i.e 1.
3. How can I use the GCD of 220, 494, 71, 320Calculator?
Out the numbers 220, 494, 71, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.