GCD of 109, 492, 947, 967 Calculator

Given Input numbers are 109, 492, 947, 967

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 109, 492, 947, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 492, 947, 967 is 1.

Therefore, GCD of numbers 109, 492, 947, 967 is 1

Given Input Data is 109, 492, 947, 967

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

Prime Factorization of 109 is 109

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 947 is 947

Prime Factorization of 967 is 967

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(109, 492) = 53628

GCD(109, 492) = ( 109 x 492 ) / 53628

GCD(109, 492) = 53628 / 53628

GCD(109, 492) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 109, 492, 947, 967 is 1

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• GCD of 709, 874, 504, 194
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• GCD of 867, 721, 491, 757
• GCD of 404, 117, 207, 460

1. What is the GCD of 109, 492, 947, 967?

GCD of 109, 492, 947, 967 is 1

2. Where do I get the detailed procedure to find GCD of 109, 492, 947, 967?

You can find a detailed procedure to find GCD of 109, 492, 947, 967 on our page.

3. How to find GCD of 109, 492, 947, 967 on a calculator?

You can find the GCD of 109, 492, 947, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.