GCD of 298, 726, 112, 364 Calculator

Given Input numbers are 298, 726, 112, 364

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (298, 726, 112, 364) = 2.

Given numbers are 298, 726, 112, 364

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 298, 726, 112, 364 is 2.

Given numbers are 298, 726, 112, 364

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

Apply this formula for all numbers.

Step1:

LCM(298, 726) = 108174

GCD(298, 726) = ( 298 x 726 ) / 108174

= 298 / 726

= 298

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 298, 726, 112, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 155, 683, 444
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• GCD of 390, 256, 497, 206
• GCD of 348, 447, 767, 425

Given numbers are 298, 726, 112, 364
The greatest common divisor of numbers 298, 726, 112, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 726, 112, 364 is 2.

1. What is the GCD of 298, 726, 112, 364?

GCD of given numbers 298, 726, 112, 364 is 2

2. How to calculate the greatest common divisor of 298, 726, 112, 364?

We can find the highest common divisor of 298, 726, 112, 364 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, 726, 112, 364 i.e 2.

3. How can I use the GCD of 298, 726, 112, 364Calculator?

Out the numbers 298, 726, 112, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.