GCD of 480, 762, 260, 993 Calculator

Given Input numbers are 480, 762, 260, 993

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 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (480, 762, 260, 993) = 1.

Given numbers are 480, 762, 260, 993

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 762 are 2 x 3 x 127

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 993 are 3 x 331

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

Given numbers are 480, 762, 260, 993

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

Apply this formula for all numbers.

Step1:

LCM(480, 762) = 60960

GCD(480, 762) = ( 480 x 762 ) / 60960

= 480 / 762

= 480

Step2:

LCM(6, 260) = 780

GCD(6, 260) = ( 6 x 260 ) / 780

= 6 / 260

= 6

Step3:

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

= 2 / 993

= 2

So, Greatest Common Divisor of 480, 762, 260, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 768, 710, 864
• GCD of 316, 459, 470, 974
• GCD of 751, 720, 141, 580
• GCD of 796, 123, 212, 827
• GCD of 382, 784, 297, 633

Given numbers are 480, 762, 260, 993
The greatest common divisor of numbers 480, 762, 260, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 762, 260, 993 is 1.

1. What is the GCD of 480, 762, 260, 993?

GCD of given numbers 480, 762, 260, 993 is 1

2. How to calculate the greatest common divisor of 480, 762, 260, 993?

We can find the highest common divisor of 480, 762, 260, 993 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, 762, 260, 993 i.e 1.

3. How can I use the GCD of 480, 762, 260, 993Calculator?

Out the numbers 480, 762, 260, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.