GCD of 134, 924, 98, 108 Calculator

Given Input numbers are 134, 924, 98, 108

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 134, 924, 98, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 924, 98, 108 is 2.

Therefore, GCD of numbers 134, 924, 98, 108 is 2

Given Input Data is 134, 924, 98, 108

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

Prime Factorization of 134 is 2 x 67

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 108 is 2 x 2 x 3 x 3 x 3

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(134, 924) = 61908

GCD(134, 924) = ( 134 x 924 ) / 61908

GCD(134, 924) = 123816 / 61908

GCD(134, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 134, 924, 98, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 752, 67, 665
• GCD of 864, 161, 34, 562
• GCD of 670, 603, 89, 827
• GCD of 624, 971, 80, 154
• GCD of 998, 807, 82, 743

1. What is the GCD of 134, 924, 98, 108?

GCD of 134, 924, 98, 108 is 2

2. Where do I get the detailed procedure to find GCD of 134, 924, 98, 108?

You can find a detailed procedure to find GCD of 134, 924, 98, 108 on our page.

3. How to find GCD of 134, 924, 98, 108 on a calculator?

You can find the GCD of 134, 924, 98, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.