GCD of 98, 182, 512, 746 Calculator

Given Input numbers are 98, 182, 512, 746

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 98, 182, 512, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 182, 512, 746 is 2.

Therefore, GCD of numbers 98, 182, 512, 746 is 2

Given Input Data is 98, 182, 512, 746

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 746 is 2 x 373

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(98, 182) = 1274

GCD(98, 182) = ( 98 x 182 ) / 1274

GCD(98, 182) = 17836 / 1274

GCD(98, 182) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 512

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

LCM(14, 512) = 3584

GCD(14, 512) = ( 14 x 512 ) / 3584

GCD(14, 512) = 7168 / 3584

GCD(14, 512) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 98, 182, 512, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 511, 272, 246
• GCD of 90, 775, 469, 323
• GCD of 12, 220, 466, 224
• GCD of 54, 773, 934, 120
• GCD of 60, 627, 158, 118

1. What is the GCD of 98, 182, 512, 746?

GCD of 98, 182, 512, 746 is 2

2. Where do I get the detailed procedure to find GCD of 98, 182, 512, 746?

You can find a detailed procedure to find GCD of 98, 182, 512, 746 on our page.

3. How to find GCD of 98, 182, 512, 746 on a calculator?

You can find the GCD of 98, 182, 512, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.