GCD of 468, 500, 530, 770 Calculator

Given Input numbers are 468, 500, 530, 770

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (468, 500, 530, 770) = 2.

Given numbers are 468, 500, 530, 770

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 530 are 2 x 5 x 53

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 468, 500, 530, 770 is 2.

Given numbers are 468, 500, 530, 770

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

Apply this formula for all numbers.

Step1:

LCM(468, 500) = 58500

GCD(468, 500) = ( 468 x 500 ) / 58500

= 468 / 500

= 468

Step2:

LCM(4, 530) = 1060

GCD(4, 530) = ( 4 x 530 ) / 1060

= 4 / 530

= 4

Step3:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

So, Greatest Common Divisor of 468, 500, 530, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 592, 541, 597
• GCD of 737, 302, 706, 160
• GCD of 846, 840, 543, 266
• GCD of 925, 220, 741, 953
• GCD of 696, 549, 819, 936

Given numbers are 468, 500, 530, 770
The greatest common divisor of numbers 468, 500, 530, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 500, 530, 770 is 2.

1. What is the GCD of 468, 500, 530, 770?

GCD of given numbers 468, 500, 530, 770 is 2

2. How to calculate the greatest common divisor of 468, 500, 530, 770?

We can find the highest common divisor of 468, 500, 530, 770 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 468, 500, 530, 770 i.e 2.

3. How can I use the GCD of 468, 500, 530, 770Calculator?

Out the numbers 468, 500, 530, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.