GCD of 148, 426, 268, 700 Calculator

Given Input numbers are 148, 426, 268, 700

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 148, 426, 268, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 426, 268, 700 is 2.

Therefore, GCD of numbers 148, 426, 268, 700 is 2

Given Input Data is 148, 426, 268, 700

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 700 is 2 x 2 x 5 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(148, 426) = 31524

GCD(148, 426) = ( 148 x 426 ) / 31524

GCD(148, 426) = 63048 / 31524

GCD(148, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 148, 426, 268, 700 is 2

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1. What is the GCD of 148, 426, 268, 700?

GCD of 148, 426, 268, 700 is 2

2. Where do I get the detailed procedure to find GCD of 148, 426, 268, 700?

You can find a detailed procedure to find GCD of 148, 426, 268, 700 on our page.

3. How to find GCD of 148, 426, 268, 700 on a calculator?

You can find the GCD of 148, 426, 268, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.