GCD of 254, 977, 98, 312 Calculator

Given Input numbers are 254, 977, 98, 312

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 254, 977, 98, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 977, 98, 312 is 1.

Therefore, GCD of numbers 254, 977, 98, 312 is 1

Given Input Data is 254, 977, 98, 312

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 977 is 977

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(254, 977) = 248158

GCD(254, 977) = ( 254 x 977 ) / 248158

GCD(254, 977) = 248158 / 248158

GCD(254, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 254, 977, 98, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 882, 94, 360
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• GCD of 779, 154, 11, 220
• GCD of 597, 902, 91, 986

1. What is the GCD of 254, 977, 98, 312?

GCD of 254, 977, 98, 312 is 1

2. Where do I get the detailed procedure to find GCD of 254, 977, 98, 312?

You can find a detailed procedure to find GCD of 254, 977, 98, 312 on our page.

3. How to find GCD of 254, 977, 98, 312 on a calculator?

You can find the GCD of 254, 977, 98, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.