GCD of 466, 708, 734, 682 Calculator

Given Input numbers are 466, 708, 734, 682

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (466, 708, 734, 682) = 2.

Given numbers are 466, 708, 734, 682

The list of prime factors of all numbers are

Prime factors of 466 are 2 x 233

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 734 are 2 x 367

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 466, 708, 734, 682 is 2.

Given numbers are 466, 708, 734, 682

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

Apply this formula for all numbers.

Step1:

LCM(466, 708) = 164964

GCD(466, 708) = ( 466 x 708 ) / 164964

= 466 / 708

= 466

Step2:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 466, 708, 734, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 119, 740, 394
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• GCD of 508, 615, 591, 621

Given numbers are 466, 708, 734, 682
The greatest common divisor of numbers 466, 708, 734, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 466, 708, 734, 682 is 2.

1. What is the GCD of 466, 708, 734, 682?

GCD of given numbers 466, 708, 734, 682 is 2

2. How to calculate the greatest common divisor of 466, 708, 734, 682?

We can find the highest common divisor of 466, 708, 734, 682 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, 708, 734, 682 i.e 2.

3. How can I use the GCD of 466, 708, 734, 682Calculator?

Out the numbers 466, 708, 734, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.