GCD of 919, 782, 196, 698 Calculator

Given Input numbers are 919, 782, 196, 698

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 919, 782, 196, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 782, 196, 698 is 1.

Therefore, GCD of numbers 919, 782, 196, 698 is 1

Given Input Data is 919, 782, 196, 698

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

Prime Factorization of 919 is 919

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 698 is 2 x 349

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(919, 782) = 718658

GCD(919, 782) = ( 919 x 782 ) / 718658

GCD(919, 782) = 718658 / 718658

GCD(919, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 196

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

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

GCD(1, 196) = 196 / 196

GCD(1, 196) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 919, 782, 196, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 215, 900, 471
• GCD of 685, 221, 146, 473
• GCD of 372, 879, 711, 265
• GCD of 491, 592, 962, 672
• GCD of 469, 805, 869, 892

1. What is the GCD of 919, 782, 196, 698?

GCD of 919, 782, 196, 698 is 1

2. Where do I get the detailed procedure to find GCD of 919, 782, 196, 698?

You can find a detailed procedure to find GCD of 919, 782, 196, 698 on our page.

3. How to find GCD of 919, 782, 196, 698 on a calculator?

You can find the GCD of 919, 782, 196, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.