GCD of 420, 718, 123, 899 Calculator

Given Input numbers are 420, 718, 123, 899

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

GCD of numbers is the greatest common divisor

So, the GCD (420, 718, 123, 899) = 1.

Given numbers are 420, 718, 123, 899

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 718 are 2 x 359

Prime factors of 123 are 3 x 41

Prime factors of 899 are 29 x 31

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

Given numbers are 420, 718, 123, 899

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

Apply this formula for all numbers.

Step1:

LCM(420, 718) = 150780

GCD(420, 718) = ( 420 x 718 ) / 150780

= 420 / 718

= 420

Step2:

LCM(2, 123) = 246

GCD(2, 123) = ( 2 x 123 ) / 246

= 2 / 123

= 2

Step3:

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

= 1 / 899

= 1

So, Greatest Common Divisor of 420, 718, 123, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 669, 864, 948
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Given numbers are 420, 718, 123, 899
The greatest common divisor of numbers 420, 718, 123, 899 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 718, 123, 899 is 1.

1. What is the GCD of 420, 718, 123, 899?

GCD of given numbers 420, 718, 123, 899 is 1

2. How to calculate the greatest common divisor of 420, 718, 123, 899?

We can find the highest common divisor of 420, 718, 123, 899 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 420, 718, 123, 899 i.e 1.

3. How can I use the GCD of 420, 718, 123, 899Calculator?

Out the numbers 420, 718, 123, 899 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.