GCD of 967, 492, 77, 343 Calculator

Given Input numbers are 967, 492, 77, 343

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

Divisors of 967

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

1, 967

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 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 967, 492, 77, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 492, 77, 343 is 1.

Therefore, GCD of numbers 967, 492, 77, 343 is 1

Given Input Data is 967, 492, 77, 343

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

Prime Factorization of 967 is 967

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 343 is 7 x 7 x 7

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(967, 492) = 475764

GCD(967, 492) = ( 967 x 492 ) / 475764

GCD(967, 492) = 475764 / 475764

GCD(967, 492) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 967, 492, 77, 343 is 1

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1. What is the GCD of 967, 492, 77, 343?

GCD of 967, 492, 77, 343 is 1

2. Where do I get the detailed procedure to find GCD of 967, 492, 77, 343?

You can find a detailed procedure to find GCD of 967, 492, 77, 343 on our page.

3. How to find GCD of 967, 492, 77, 343 on a calculator?

You can find the GCD of 967, 492, 77, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.