GCD of 298, 996, 436, 682 Calculator

Given Input numbers are 298, 996, 436, 682

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

Divisors of 298 :

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

1, 2, 149, 298

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

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 (298, 996, 436, 682) = 2.

Given numbers are 298, 996, 436, 682

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 436 are 2 x 2 x 109

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 298, 996, 436, 682 is 2.

Given numbers are 298, 996, 436, 682

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

Apply this formula for all numbers.

Step1:

LCM(298, 996) = 148404

GCD(298, 996) = ( 298 x 996 ) / 148404

= 298 / 996

= 298

Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

Step3:

LCM(2, 682) = 682

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

= 2 / 682

= 2

So, Greatest Common Divisor of 298, 996, 436, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 767, 626, 350
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Given numbers are 298, 996, 436, 682
The greatest common divisor of numbers 298, 996, 436, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 996, 436, 682 is 2.

1. What is the GCD of 298, 996, 436, 682?

GCD of given numbers 298, 996, 436, 682 is 2

2. How to calculate the greatest common divisor of 298, 996, 436, 682?

We can find the highest common divisor of 298, 996, 436, 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 298, 996, 436, 682 i.e 2.

3. How can I use the GCD of 298, 996, 436, 682Calculator?

Out the numbers 298, 996, 436, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.