GCD of 461, 429, 120, 999 Calculator

Given Input numbers are 461, 429, 120, 999

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

GCD of numbers is the greatest common divisor

So, the GCD (461, 429, 120, 999) = 1.

Given numbers are 461, 429, 120, 999

The list of prime factors of all numbers are

Prime factors of 461 are 461

Prime factors of 429 are 3 x 11 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 999 are 3 x 3 x 3 x 37

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

Given numbers are 461, 429, 120, 999

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

Apply this formula for all numbers.

Step1:

LCM(461, 429) = 197769

GCD(461, 429) = ( 461 x 429 ) / 197769

= 461 / 429

= 461

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1

So, Greatest Common Divisor of 461, 429, 120, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 455, 742, 137
• GCD of 910, 715, 569, 595
• GCD of 676, 193, 633, 578
• GCD of 532, 141, 564, 166
• GCD of 554, 299, 106, 861

Given numbers are 461, 429, 120, 999
The greatest common divisor of numbers 461, 429, 120, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 429, 120, 999 is 1.

1. What is the GCD of 461, 429, 120, 999?

GCD of given numbers 461, 429, 120, 999 is 1

2. How to calculate the greatest common divisor of 461, 429, 120, 999?

We can find the highest common divisor of 461, 429, 120, 999 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 461, 429, 120, 999 i.e 1.

3. How can I use the GCD of 461, 429, 120, 999Calculator?

Out the numbers 461, 429, 120, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.