GCD of 110, 140, 98, 698 Calculator

Given Input numbers are 110, 140, 98, 698

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 110, 140, 98, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 140, 98, 698 is 2.

Therefore, GCD of numbers 110, 140, 98, 698 is 2

Given Input Data is 110, 140, 98, 698

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 698 is 2 x 349

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(110, 140) = 1540

GCD(110, 140) = ( 110 x 140 ) / 1540

GCD(110, 140) = 15400 / 1540

GCD(110, 140) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 98

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

LCM(10, 98) = 490

GCD(10, 98) = ( 10 x 98 ) / 490

GCD(10, 98) = 980 / 490

GCD(10, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 110, 140, 98, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 274, 20, 691
• GCD of 540, 997, 57, 825
• GCD of 777, 158, 44, 480
• GCD of 283, 522, 55, 199
• GCD of 164, 510, 22, 342

1. What is the GCD of 110, 140, 98, 698?

GCD of 110, 140, 98, 698 is 2

2. Where do I get the detailed procedure to find GCD of 110, 140, 98, 698?

You can find a detailed procedure to find GCD of 110, 140, 98, 698 on our page.

3. How to find GCD of 110, 140, 98, 698 on a calculator?

You can find the GCD of 110, 140, 98, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.