GCD of 464, 420, 120, 471 Calculator

Given Input numbers are 464, 420, 120, 471

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (464, 420, 120, 471) = 1.

Given numbers are 464, 420, 120, 471

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

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

Prime factors of 471 are 3 x 157

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

Given numbers are 464, 420, 120, 471

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

Apply this formula for all numbers.

Step1:

LCM(464, 420) = 48720

GCD(464, 420) = ( 464 x 420 ) / 48720

= 464 / 420

= 464

Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

Step3:

LCM(4, 471) = 1884

GCD(4, 471) = ( 4 x 471 ) / 1884

= 4 / 471

= 4

So, Greatest Common Divisor of 464, 420, 120, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 523, 306, 215
• GCD of 434, 987, 691, 686
• GCD of 522, 464, 864, 260
• GCD of 725, 107, 637, 678
• GCD of 211, 257, 165, 721

Given numbers are 464, 420, 120, 471
The greatest common divisor of numbers 464, 420, 120, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 420, 120, 471 is 1.

1. What is the GCD of 464, 420, 120, 471?

GCD of given numbers 464, 420, 120, 471 is 1

2. How to calculate the greatest common divisor of 464, 420, 120, 471?

We can find the highest common divisor of 464, 420, 120, 471 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 464, 420, 120, 471 i.e 1.

3. How can I use the GCD of 464, 420, 120, 471Calculator?

Out the numbers 464, 420, 120, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.