GCD of 466, 742, 624, 580 Calculator

Given Input numbers are 466, 742, 624, 580

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

Divisors of 466 :

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

1, 2, 233, 466

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (466, 742, 624, 580) = 2.

Given numbers are 466, 742, 624, 580

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 742 are 2 x 7 x 53

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 466, 742, 624, 580 is 2.

Given numbers are 466, 742, 624, 580

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

Apply this formula for all numbers.

Step1:

LCM(466, 742) = 172886

GCD(466, 742) = ( 466 x 742 ) / 172886

= 466 / 742

= 466

Step2:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 466, 742, 624, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 731, 447, 707
• GCD of 741, 801, 186, 977
• GCD of 660, 893, 870, 655
• GCD of 422, 625, 801, 879
• GCD of 827, 457, 507, 196

Given numbers are 466, 742, 624, 580
The greatest common divisor of numbers 466, 742, 624, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 742, 624, 580 is 2.

1. What is the GCD of 466, 742, 624, 580?

GCD of given numbers 466, 742, 624, 580 is 2

2. How to calculate the greatest common divisor of 466, 742, 624, 580?

We can find the highest common divisor of 466, 742, 624, 580 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 466, 742, 624, 580 i.e 2.

3. How can I use the GCD of 466, 742, 624, 580Calculator?

Out the numbers 466, 742, 624, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.