GCD of 824, 464, 298, 934 Calculator

Given Input numbers are 824, 464, 298, 934

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 934 :

The positive integer divisors of 934 that completely divides 934 are.

1, 2, 467, 934

GCD of numbers is the greatest common divisor

So, the GCD (824, 464, 298, 934) = 2.

Given numbers are 824, 464, 298, 934

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

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

Prime factors of 298 are 2 x 149

Prime factors of 934 are 2 x 467

The highest common occurrence is 2¹

Therefore, GCD of 824, 464, 298, 934 is 2.

Given numbers are 824, 464, 298, 934

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

Apply this formula for all numbers.

Step1:

LCM(824, 464) = 47792

GCD(824, 464) = ( 824 x 464 ) / 47792

= 824 / 464

= 824

Step2:

LCM(8, 298) = 1192

GCD(8, 298) = ( 8 x 298 ) / 1192

= 8 / 298

= 8

Step3:

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

= 2 / 934

= 2

So, Greatest Common Divisor of 824, 464, 298, 934 is 2

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Given numbers are 824, 464, 298, 934
The greatest common divisor of numbers 824, 464, 298, 934 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 464, 298, 934 is 2.

1. What is the GCD of 824, 464, 298, 934?

GCD of given numbers 824, 464, 298, 934 is 2

2. How to calculate the greatest common divisor of 824, 464, 298, 934?

We can find the highest common divisor of 824, 464, 298, 934 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 824, 464, 298, 934 i.e 2.

3. How can I use the GCD of 824, 464, 298, 934Calculator?

Out the numbers 824, 464, 298, 934 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.