GCD of 768, 524, 98, 464 Calculator

Given Input numbers are 768, 524, 98, 464

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 768, 524, 98, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 524, 98, 464 is 2.

Therefore, GCD of numbers 768, 524, 98, 464 is 2

Given Input Data is 768, 524, 98, 464

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(768, 524) = 100608

GCD(768, 524) = ( 768 x 524 ) / 100608

GCD(768, 524) = 402432 / 100608

GCD(768, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 98

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

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

GCD(4, 98) = 392 / 196

GCD(4, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 768, 524, 98, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 849, 90, 786
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• GCD of 398, 290, 16, 191
• GCD of 802, 411, 15, 300

1. What is the GCD of 768, 524, 98, 464?

GCD of 768, 524, 98, 464 is 2

2. Where do I get the detailed procedure to find GCD of 768, 524, 98, 464?

You can find a detailed procedure to find GCD of 768, 524, 98, 464 on our page.

3. How to find GCD of 768, 524, 98, 464 on a calculator?

You can find the GCD of 768, 524, 98, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.