GCD of 520, 466, 60, 724 Calculator

Given Input numbers are 520, 466, 60, 724

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (520, 466, 60, 724) = 2.

Given numbers are 520, 466, 60, 724

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 466 are 2 x 233

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 520, 466, 60, 724 is 2.

Given numbers are 520, 466, 60, 724

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

Apply this formula for all numbers.

Step1:

LCM(520, 466) = 121160

GCD(520, 466) = ( 520 x 466 ) / 121160

= 520 / 466

= 520

Step2:

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 520, 466, 60, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 889, 51, 272
• GCD of 912, 591, 85, 483
• GCD of 919, 651, 10, 197
• GCD of 881, 887, 27, 804
• GCD of 534, 126, 62, 751

Given numbers are 520, 466, 60, 724
The greatest common divisor of numbers 520, 466, 60, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 466, 60, 724 is 2.

1. What is the GCD of 520, 466, 60, 724?

GCD of given numbers 520, 466, 60, 724 is 2

2. How to calculate the greatest common divisor of 520, 466, 60, 724?

We can find the highest common divisor of 520, 466, 60, 724 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 520, 466, 60, 724 i.e 2.

3. How can I use the GCD of 520, 466, 60, 724Calculator?

Out the numbers 520, 466, 60, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.