GCD of 764, 262, 154 Calculator

Given Input numbers are 764, 262, 154

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 764, 262, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 262, 154 is 2.

Therefore, GCD of numbers 764, 262, 154 is 2

Given Input Data is 764, 262, 154

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 262 is 2 x 131

Prime Factorization of 154 is 2 x 7 x 11

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(764, 262) = 100084

GCD(764, 262) = ( 764 x 262 ) / 100084

GCD(764, 262) = 200168 / 100084

GCD(764, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 154

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

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

GCD(2, 154) = 308 / 154

GCD(2, 154) = 2

GCD of 764, 262, 154 is 2

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1. What is the GCD of 764, 262, 154?

GCD of 764, 262, 154 is 2

2. Where do I get the detailed procedure to find GCD of 764, 262, 154?

You can find a detailed procedure to find GCD of 764, 262, 154 on our page.

3. How to find GCD of 764, 262, 154 on a calculator?

You can find the GCD of 764, 262, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.