GCD of 88, 270, 316, 758 Calculator

Given Input numbers are 88, 270, 316, 758

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

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 88, 270, 316, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 270, 316, 758 is 2.

Therefore, GCD of numbers 88, 270, 316, 758 is 2

Given Input Data is 88, 270, 316, 758

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 758 is 2 x 379

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(88, 270) = 11880

GCD(88, 270) = ( 88 x 270 ) / 11880

GCD(88, 270) = 23760 / 11880

GCD(88, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 758

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

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

GCD(2, 758) = 1516 / 758

GCD(2, 758) = 2

GCD of 88, 270, 316, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 663, 470, 581
• GCD of 66, 749, 495, 948
• GCD of 62, 489, 309, 641
• GCD of 58, 239, 958, 133
• GCD of 13, 603, 657, 382

1. What is the GCD of 88, 270, 316, 758?

GCD of 88, 270, 316, 758 is 2

2. Where do I get the detailed procedure to find GCD of 88, 270, 316, 758?

You can find a detailed procedure to find GCD of 88, 270, 316, 758 on our page.

3. How to find GCD of 88, 270, 316, 758 on a calculator?

You can find the GCD of 88, 270, 316, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.