GCD of 749, 251, 262, 140 Calculator

Given Input numbers are 749, 251, 262, 140

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 262

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

1, 2, 131, 262

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 749, 251, 262, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 251, 262, 140 is 1.

Therefore, GCD of numbers 749, 251, 262, 140 is 1

Given Input Data is 749, 251, 262, 140

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 251 is 251

Prime Factorization of 262 is 2 x 131

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(749, 251) = 187999

GCD(749, 251) = ( 749 x 251 ) / 187999

GCD(749, 251) = 187999 / 187999

GCD(749, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 262

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

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

GCD(1, 262) = 262 / 262

GCD(1, 262) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 749, 251, 262, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 874, 410, 398
• GCD of 370, 616, 944, 597
• GCD of 356, 297, 469, 198
• GCD of 657, 924, 337, 148
• GCD of 367, 444, 827, 657

1. What is the GCD of 749, 251, 262, 140?

GCD of 749, 251, 262, 140 is 1

2. Where do I get the detailed procedure to find GCD of 749, 251, 262, 140?

You can find a detailed procedure to find GCD of 749, 251, 262, 140 on our page.

3. How to find GCD of 749, 251, 262, 140 on a calculator?

You can find the GCD of 749, 251, 262, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.