GCD of 140, 112, 967, 341 Calculator

Given Input numbers are 140, 112, 967, 341

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 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 140, 112, 967, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 112, 967, 341 is 1.

Therefore, GCD of numbers 140, 112, 967, 341 is 1

Given Input Data is 140, 112, 967, 341

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 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 967 is 967

Prime Factorization of 341 is 11 x 31

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, 112) = 560

GCD(140, 112) = ( 140 x 112 ) / 560

GCD(140, 112) = 15680 / 560

GCD(140, 112) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 967

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

LCM(28, 967) = 27076

GCD(28, 967) = ( 28 x 967 ) / 27076

GCD(28, 967) = 27076 / 27076

GCD(28, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 140, 112, 967, 341 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 222, 179, 586
• GCD of 202, 820, 624, 358
• GCD of 841, 289, 917, 942
• GCD of 188, 569, 782, 287
• GCD of 254, 723, 668, 938

1. What is the GCD of 140, 112, 967, 341?

GCD of 140, 112, 967, 341 is 1

2. Where do I get the detailed procedure to find GCD of 140, 112, 967, 341?

You can find a detailed procedure to find GCD of 140, 112, 967, 341 on our page.

3. How to find GCD of 140, 112, 967, 341 on a calculator?

You can find the GCD of 140, 112, 967, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.