GCD of 658, 448, 70, 259 Calculator

Given Input numbers are 658, 448, 70, 259

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 658, 448, 70, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 448, 70, 259 is 7.

Therefore, GCD of numbers 658, 448, 70, 259 is 7

Given Input Data is 658, 448, 70, 259

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 259 is 7 x 37

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(658, 448) = 21056

GCD(658, 448) = ( 658 x 448 ) / 21056

GCD(658, 448) = 294784 / 21056

GCD(658, 448) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 70

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

LCM(14, 70) = 70

GCD(14, 70) = ( 14 x 70 ) / 70

GCD(14, 70) = 980 / 70

GCD(14, 70) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 259

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

LCM(14, 259) = 518

GCD(14, 259) = ( 14 x 259 ) / 518

GCD(14, 259) = 3626 / 518

GCD(14, 259) = 7

GCD of 658, 448, 70, 259 is 7

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1. What is the GCD of 658, 448, 70, 259?

GCD of 658, 448, 70, 259 is 7

2. Where do I get the detailed procedure to find GCD of 658, 448, 70, 259?

You can find a detailed procedure to find GCD of 658, 448, 70, 259 on our page.

3. How to find GCD of 658, 448, 70, 259 on a calculator?

You can find the GCD of 658, 448, 70, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.