GCD of 740, 202, 701, 278 Calculator

Given Input numbers are 740, 202, 701, 278

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

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 740, 202, 701, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 202, 701, 278 is 1.

Therefore, GCD of numbers 740, 202, 701, 278 is 1

Given Input Data is 740, 202, 701, 278

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 202 is 2 x 101

Prime Factorization of 701 is 701

Prime Factorization of 278 is 2 x 139

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(740, 202) = 74740

GCD(740, 202) = ( 740 x 202 ) / 74740

GCD(740, 202) = 149480 / 74740

GCD(740, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 701

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

LCM(2, 701) = 1402

GCD(2, 701) = ( 2 x 701 ) / 1402

GCD(2, 701) = 1402 / 1402

GCD(2, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 740, 202, 701, 278 is 1

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1. What is the GCD of 740, 202, 701, 278?

GCD of 740, 202, 701, 278 is 1

2. Where do I get the detailed procedure to find GCD of 740, 202, 701, 278?

You can find a detailed procedure to find GCD of 740, 202, 701, 278 on our page.

3. How to find GCD of 740, 202, 701, 278 on a calculator?

You can find the GCD of 740, 202, 701, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.