GCD of 954, 120, 423, 510 Calculator

Given Input numbers are 954, 120, 423, 510

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (954, 120, 423, 510) = 3.

Given numbers are 954, 120, 423, 510

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

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

Prime factors of 423 are 3 x 3 x 47

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 954, 120, 423, 510 is 3.

Given numbers are 954, 120, 423, 510

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

Apply this formula for all numbers.

Step1:

LCM(954, 120) = 19080

GCD(954, 120) = ( 954 x 120 ) / 19080

= 954 / 120

= 954

Step2:

LCM(6, 423) = 846

GCD(6, 423) = ( 6 x 423 ) / 846

= 6 / 423

= 6

Step3:

LCM(3, 510) = 510

GCD(3, 510) = ( 3 x 510 ) / 510

= 3 / 510

= 3

So, Greatest Common Divisor of 954, 120, 423, 510 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 645, 919, 870
• GCD of 770, 239, 632, 732
• GCD of 374, 574, 831, 306
• GCD of 875, 833, 310, 357
• GCD of 858, 569, 171, 188

Given numbers are 954, 120, 423, 510
The greatest common divisor of numbers 954, 120, 423, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 120, 423, 510 is 3.

1. What is the GCD of 954, 120, 423, 510?

GCD of given numbers 954, 120, 423, 510 is 3

2. How to calculate the greatest common divisor of 954, 120, 423, 510?

We can find the highest common divisor of 954, 120, 423, 510 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 954, 120, 423, 510 i.e 3.

3. How can I use the GCD of 954, 120, 423, 510Calculator?

Out the numbers 954, 120, 423, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.