GCD of 974, 550, 132, 358 Calculator

Given Input numbers are 974, 550, 132, 358

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 974, 550, 132, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 550, 132, 358 is 2.

Therefore, GCD of numbers 974, 550, 132, 358 is 2

Given Input Data is 974, 550, 132, 358

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 358 is 2 x 179

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, 550) = 267850

GCD(974, 550) = ( 974 x 550 ) / 267850

GCD(974, 550) = 535700 / 267850

GCD(974, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

GCD of 974, 550, 132, 358 is 2

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1. What is the GCD of 974, 550, 132, 358?

GCD of 974, 550, 132, 358 is 2

2. Where do I get the detailed procedure to find GCD of 974, 550, 132, 358?

You can find a detailed procedure to find GCD of 974, 550, 132, 358 on our page.

3. How to find GCD of 974, 550, 132, 358 on a calculator?

You can find the GCD of 974, 550, 132, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.