GCD of 274, 830, 980, 158 Calculator

Given Input numbers are 274, 830, 980, 158

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 274, 830, 980, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 830, 980, 158 is 2.

Therefore, GCD of numbers 274, 830, 980, 158 is 2

Given Input Data is 274, 830, 980, 158

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 158 is 2 x 79

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(274, 830) = 113710

GCD(274, 830) = ( 274 x 830 ) / 113710

GCD(274, 830) = 227420 / 113710

GCD(274, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 274, 830, 980, 158 is 2

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1. What is the GCD of 274, 830, 980, 158?

GCD of 274, 830, 980, 158 is 2

2. Where do I get the detailed procedure to find GCD of 274, 830, 980, 158?

You can find a detailed procedure to find GCD of 274, 830, 980, 158 on our page.

3. How to find GCD of 274, 830, 980, 158 on a calculator?

You can find the GCD of 274, 830, 980, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.