GCD of 140, 760, 175, 223 Calculator

Given Input numbers are 140, 760, 175, 223

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

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 140, 760, 175, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 760, 175, 223 is 1.

Therefore, GCD of numbers 140, 760, 175, 223 is 1

Given Input Data is 140, 760, 175, 223

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

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 223 is 223

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(140, 760) = 5320

GCD(140, 760) = ( 140 x 760 ) / 5320

GCD(140, 760) = 106400 / 5320

GCD(140, 760) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 175

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

LCM(20, 175) = 700

GCD(20, 175) = ( 20 x 175 ) / 700

GCD(20, 175) = 3500 / 700

GCD(20, 175) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 223

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

LCM(5, 223) = 1115

GCD(5, 223) = ( 5 x 223 ) / 1115

GCD(5, 223) = 1115 / 1115

GCD(5, 223) = 1

GCD of 140, 760, 175, 223 is 1

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1. What is the GCD of 140, 760, 175, 223?

GCD of 140, 760, 175, 223 is 1

2. Where do I get the detailed procedure to find GCD of 140, 760, 175, 223?

You can find a detailed procedure to find GCD of 140, 760, 175, 223 on our page.

3. How to find GCD of 140, 760, 175, 223 on a calculator?

You can find the GCD of 140, 760, 175, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.