GCD of 749, 924, 98, 400 Calculator

Given Input numbers are 749, 924, 98, 400

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 749, 924, 98, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 924, 98, 400 is 1.

Therefore, GCD of numbers 749, 924, 98, 400 is 1

Given Input Data is 749, 924, 98, 400

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(749, 924) = 98868

GCD(749, 924) = ( 749 x 924 ) / 98868

GCD(749, 924) = 692076 / 98868

GCD(749, 924) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 98

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

LCM(7, 98) = 98

GCD(7, 98) = ( 7 x 98 ) / 98

GCD(7, 98) = 686 / 98

GCD(7, 98) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 400

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

LCM(7, 400) = 2800

GCD(7, 400) = ( 7 x 400 ) / 2800

GCD(7, 400) = 2800 / 2800

GCD(7, 400) = 1

GCD of 749, 924, 98, 400 is 1

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• GCD of 421, 223, 20, 898
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• GCD of 210, 175, 16, 925

1. What is the GCD of 749, 924, 98, 400?

GCD of 749, 924, 98, 400 is 1

2. Where do I get the detailed procedure to find GCD of 749, 924, 98, 400?

You can find a detailed procedure to find GCD of 749, 924, 98, 400 on our page.

3. How to find GCD of 749, 924, 98, 400 on a calculator?

You can find the GCD of 749, 924, 98, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.