GCD of 464, 928, 580, 308 Calculator

Given Input numbers are 464, 928, 580, 308

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (464, 928, 580, 308) = 4.

Given numbers are 464, 928, 580, 308

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2²

Therefore, GCD of 464, 928, 580, 308 is 4.

Given numbers are 464, 928, 580, 308

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

Apply this formula for all numbers.

Step1:

LCM(464, 928) = 928

GCD(464, 928) = ( 464 x 928 ) / 928

= 464 / 928

= 464

Step2:

LCM(464, 580) = 2320

GCD(464, 580) = ( 464 x 580 ) / 2320

= 464 / 580

= 464

Step3:

LCM(116, 308) = 8932

GCD(116, 308) = ( 116 x 308 ) / 8932

= 116 / 308

= 116

So, Greatest Common Divisor of 464, 928, 580, 308 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 436, 398, 957
• GCD of 669, 884, 521, 210
• GCD of 844, 117, 857, 579
• GCD of 130, 332, 640, 236
• GCD of 239, 366, 628, 332

Given numbers are 464, 928, 580, 308
The greatest common divisor of numbers 464, 928, 580, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 928, 580, 308 is 4.

1. What is the GCD of 464, 928, 580, 308?

GCD of given numbers 464, 928, 580, 308 is 4

2. How to calculate the greatest common divisor of 464, 928, 580, 308?

We can find the highest common divisor of 464, 928, 580, 308 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 464, 928, 580, 308 i.e 4.

3. How can I use the GCD of 464, 928, 580, 308Calculator?

Out the numbers 464, 928, 580, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.