GCD of 268, 298, 557, 750 Calculator

Given Input numbers are 268, 298, 557, 750

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

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 268, 298, 557, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 298, 557, 750 is 1.

Therefore, GCD of numbers 268, 298, 557, 750 is 1

Given Input Data is 268, 298, 557, 750

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 298 is 2 x 149

Prime Factorization of 557 is 557

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(268, 298) = 39932

GCD(268, 298) = ( 268 x 298 ) / 39932

GCD(268, 298) = 79864 / 39932

GCD(268, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 557

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

LCM(2, 557) = 1114

GCD(2, 557) = ( 2 x 557 ) / 1114

GCD(2, 557) = 1114 / 1114

GCD(2, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

GCD of 268, 298, 557, 750 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 894, 866, 454
• GCD of 830, 766, 102, 816
• GCD of 888, 816, 480, 929
• GCD of 730, 210, 926, 210
• GCD of 643, 242, 591, 624

1. What is the GCD of 268, 298, 557, 750?

GCD of 268, 298, 557, 750 is 1

2. Where do I get the detailed procedure to find GCD of 268, 298, 557, 750?

You can find a detailed procedure to find GCD of 268, 298, 557, 750 on our page.

3. How to find GCD of 268, 298, 557, 750 on a calculator?

You can find the GCD of 268, 298, 557, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.