GCD of 460, 107, 600, 813 Calculator

Given Input numbers are 460, 107, 600, 813

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 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

GCD of numbers is the greatest common divisor

So, the GCD (460, 107, 600, 813) = 1.

Given numbers are 460, 107, 600, 813

The list of prime factors of all numbers are

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

Prime factors of 107 are 107

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 813 are 3 x 271

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

Given numbers are 460, 107, 600, 813

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

Apply this formula for all numbers.

Step1:

LCM(460, 107) = 49220

GCD(460, 107) = ( 460 x 107 ) / 49220

= 460 / 107

= 460

Step2:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

Step3:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1

So, Greatest Common Divisor of 460, 107, 600, 813 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 889, 965, 979
• GCD of 730, 195, 613, 716
• GCD of 462, 787, 109, 863
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• GCD of 833, 946, 984, 714

Given numbers are 460, 107, 600, 813
The greatest common divisor of numbers 460, 107, 600, 813 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 107, 600, 813 is 1.

1. What is the GCD of 460, 107, 600, 813?

GCD of given numbers 460, 107, 600, 813 is 1

2. How to calculate the greatest common divisor of 460, 107, 600, 813?

We can find the highest common divisor of 460, 107, 600, 813 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, 107, 600, 813 i.e 1.

3. How can I use the GCD of 460, 107, 600, 813Calculator?

Out the numbers 460, 107, 600, 813 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.