GCD of 140, 914, 400, 970 Calculator

Given Input numbers are 140, 914, 400, 970

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 140, 914, 400, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 914, 400, 970 is 2.

Therefore, GCD of numbers 140, 914, 400, 970 is 2

Given Input Data is 140, 914, 400, 970

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 914 is 2 x 457

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 970 is 2 x 5 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 914) = 63980

GCD(140, 914) = ( 140 x 914 ) / 63980

GCD(140, 914) = 127960 / 63980

GCD(140, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 400

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

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

GCD(2, 400) = 800 / 400

GCD(2, 400) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 140, 914, 400, 970 is 2

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1. What is the GCD of 140, 914, 400, 970?

GCD of 140, 914, 400, 970 is 2

2. Where do I get the detailed procedure to find GCD of 140, 914, 400, 970?

You can find a detailed procedure to find GCD of 140, 914, 400, 970 on our page.

3. How to find GCD of 140, 914, 400, 970 on a calculator?

You can find the GCD of 140, 914, 400, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.