GCD of 460, 160, 997, 438 Calculator

Given Input numbers are 460, 160, 997, 438

In the factoring method, we have to find the divisors of all numbers

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (460, 160, 997, 438) = 1.

Given numbers are 460, 160, 997, 438

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 997 are 997

Prime factors of 438 are 2 x 3 x 73

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 460, 160, 997, 438

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(460, 160) = 3680

GCD(460, 160) = ( 460 x 160 ) / 3680

= 460 / 160

= 460

Step2:

LCM(20, 997) = 19940

GCD(20, 997) = ( 20 x 997 ) / 19940

= 20 / 997

= 20

Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1

So, Greatest Common Divisor of 460, 160, 997, 438 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 698, 624, 602
• GCD of 904, 399, 513, 760
• GCD of 409, 684, 909, 284
• GCD of 999, 722, 269, 292
• GCD of 217, 812, 987, 112

Given numbers are 460, 160, 997, 438
The greatest common divisor of numbers 460, 160, 997, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 160, 997, 438 is 1.

1. What is the GCD of 460, 160, 997, 438?

GCD of given numbers 460, 160, 997, 438 is 1

2. How to calculate the greatest common divisor of 460, 160, 997, 438?

We can find the highest common divisor of 460, 160, 997, 438 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 460, 160, 997, 438 i.e 1.

3. How can I use the GCD of 460, 160, 997, 438Calculator?

Out the numbers 460, 160, 997, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.