GCD of 918, 659, 98, 153 Calculator

Given Input numbers are 918, 659, 98, 153

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 918, 659, 98, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 659, 98, 153 is 1.

Therefore, GCD of numbers 918, 659, 98, 153 is 1

Given Input Data is 918, 659, 98, 153

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 659 is 659

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 153 is 3 x 3 x 17

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(918, 659) = 604962

GCD(918, 659) = ( 918 x 659 ) / 604962

GCD(918, 659) = 604962 / 604962

GCD(918, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 918, 659, 98, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 804, 38, 829
• GCD of 600, 744, 99, 967
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• GCD of 124, 363, 18, 387
• GCD of 902, 934, 23, 651

1. What is the GCD of 918, 659, 98, 153?

GCD of 918, 659, 98, 153 is 1

2. Where do I get the detailed procedure to find GCD of 918, 659, 98, 153?

You can find a detailed procedure to find GCD of 918, 659, 98, 153 on our page.

3. How to find GCD of 918, 659, 98, 153 on a calculator?

You can find the GCD of 918, 659, 98, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.