GCD of 874, 134, 958, 892 Calculator

Given Input numbers are 874, 134, 958, 892

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 874, 134, 958, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 134, 958, 892 is 2.

Therefore, GCD of numbers 874, 134, 958, 892 is 2

Given Input Data is 874, 134, 958, 892

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 134 is 2 x 67

Prime Factorization of 958 is 2 x 479

Prime Factorization of 892 is 2 x 2 x 223

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(874, 134) = 58558

GCD(874, 134) = ( 874 x 134 ) / 58558

GCD(874, 134) = 117116 / 58558

GCD(874, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

GCD of 874, 134, 958, 892 is 2

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1. What is the GCD of 874, 134, 958, 892?

GCD of 874, 134, 958, 892 is 2

2. Where do I get the detailed procedure to find GCD of 874, 134, 958, 892?

You can find a detailed procedure to find GCD of 874, 134, 958, 892 on our page.

3. How to find GCD of 874, 134, 958, 892 on a calculator?

You can find the GCD of 874, 134, 958, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.