GCD of 748, 232, 98, 840 Calculator

Given Input numbers are 748, 232, 98, 840

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 748, 232, 98, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 232, 98, 840 is 2.

Therefore, GCD of numbers 748, 232, 98, 840 is 2

Given Input Data is 748, 232, 98, 840

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(748, 232) = 43384

GCD(748, 232) = ( 748 x 232 ) / 43384

GCD(748, 232) = 173536 / 43384

GCD(748, 232) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 98

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

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

GCD(4, 98) = 392 / 196

GCD(4, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 748, 232, 98, 840 is 2

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1. What is the GCD of 748, 232, 98, 840?

GCD of 748, 232, 98, 840 is 2

2. Where do I get the detailed procedure to find GCD of 748, 232, 98, 840?

You can find a detailed procedure to find GCD of 748, 232, 98, 840 on our page.

3. How to find GCD of 748, 232, 98, 840 on a calculator?

You can find the GCD of 748, 232, 98, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.