GCD of 974, 140, 148, 802 Calculator

Given Input numbers are 974, 140, 148, 802

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 974, 140, 148, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 140, 148, 802 is 2.

Therefore, GCD of numbers 974, 140, 148, 802 is 2

Given Input Data is 974, 140, 148, 802

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

Prime Factorization of 974 is 2 x 487

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 802 is 2 x 401

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(974, 140) = 68180

GCD(974, 140) = ( 974 x 140 ) / 68180

GCD(974, 140) = 136360 / 68180

GCD(974, 140) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

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

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

GCD of 974, 140, 148, 802 is 2

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1. What is the GCD of 974, 140, 148, 802?

GCD of 974, 140, 148, 802 is 2

2. Where do I get the detailed procedure to find GCD of 974, 140, 148, 802?

You can find a detailed procedure to find GCD of 974, 140, 148, 802 on our page.

3. How to find GCD of 974, 140, 148, 802 on a calculator?

You can find the GCD of 974, 140, 148, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.