GCD of 35, 140, 175, 352 Calculator

Given Input numbers are 35, 140, 175, 352

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 175

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

1, 5, 7, 25, 35, 175

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 35, 140, 175, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 140, 175, 352 is 1.

Therefore, GCD of numbers 35, 140, 175, 352 is 1

Given Input Data is 35, 140, 175, 352

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

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(35, 140) = 140

GCD(35, 140) = ( 35 x 140 ) / 140

GCD(35, 140) = 4900 / 140

GCD(35, 140) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 175

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

LCM(35, 175) = 175

GCD(35, 175) = ( 35 x 175 ) / 175

GCD(35, 175) = 6125 / 175

GCD(35, 175) = 35

Step3:

Here we consider the GCD from the above i.e. 35 as first number and the next as 352

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

LCM(35, 352) = 12320

GCD(35, 352) = ( 35 x 352 ) / 12320

GCD(35, 352) = 12320 / 12320

GCD(35, 352) = 1

GCD of 35, 140, 175, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 767, 792, 164
• GCD of 58, 139, 409, 635
• GCD of 41, 637, 323, 187
• GCD of 50, 162, 624, 531
• GCD of 40, 975, 590, 972

1. What is the GCD of 35, 140, 175, 352?

GCD of 35, 140, 175, 352 is 1

2. Where do I get the detailed procedure to find GCD of 35, 140, 175, 352?

You can find a detailed procedure to find GCD of 35, 140, 175, 352 on our page.

3. How to find GCD of 35, 140, 175, 352 on a calculator?

You can find the GCD of 35, 140, 175, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.