GCD of 480, 121, 523, 712 Calculator

Given Input numbers are 480, 121, 523, 712

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

GCD of numbers is the greatest common divisor

So, the GCD (480, 121, 523, 712) = 1.

Given numbers are 480, 121, 523, 712

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 121 are 11 x 11

Prime factors of 523 are 523

Prime factors of 712 are 2 x 2 x 2 x 89

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

Given numbers are 480, 121, 523, 712

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

Apply this formula for all numbers.

Step1:

LCM(480, 121) = 58080

GCD(480, 121) = ( 480 x 121 ) / 58080

= 480 / 121

= 480

Step2:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

Step3:

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

= 1 / 712

= 1

So, Greatest Common Divisor of 480, 121, 523, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 529, 528, 251
• GCD of 326, 217, 117, 728
• GCD of 120, 492, 928, 799
• GCD of 641, 854, 826, 625
• GCD of 793, 221, 426, 981

Given numbers are 480, 121, 523, 712
The greatest common divisor of numbers 480, 121, 523, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 121, 523, 712 is 1.

1. What is the GCD of 480, 121, 523, 712?

GCD of given numbers 480, 121, 523, 712 is 1

2. How to calculate the greatest common divisor of 480, 121, 523, 712?

We can find the highest common divisor of 480, 121, 523, 712 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 480, 121, 523, 712 i.e 1.

3. How can I use the GCD of 480, 121, 523, 712Calculator?

Out the numbers 480, 121, 523, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.