GCD of 500, 534, 480, 762 Calculator

Given Input numbers are 500, 534, 480, 762

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 534, 480, 762) = 2.

Given numbers are 500, 534, 480, 762

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 534 are 2 x 3 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 500, 534, 480, 762 is 2.

Given numbers are 500, 534, 480, 762

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

Apply this formula for all numbers.

Step1:

LCM(500, 534) = 133500

GCD(500, 534) = ( 500 x 534 ) / 133500

= 500 / 534

= 500

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 500, 534, 480, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 708, 167, 191
• GCD of 858, 277, 843, 755
• GCD of 538, 462, 919, 976
• GCD of 693, 828, 309, 579
• GCD of 317, 465, 463, 638

Given numbers are 500, 534, 480, 762
The greatest common divisor of numbers 500, 534, 480, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 534, 480, 762 is 2.

1. What is the GCD of 500, 534, 480, 762?

GCD of given numbers 500, 534, 480, 762 is 2

2. How to calculate the greatest common divisor of 500, 534, 480, 762?

We can find the highest common divisor of 500, 534, 480, 762 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 500, 534, 480, 762 i.e 2.

3. How can I use the GCD of 500, 534, 480, 762Calculator?

Out the numbers 500, 534, 480, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.