GCD of 977, 942, 172, 494 Calculator

Given Input numbers are 977, 942, 172, 494

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

Divisors of 977

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

1, 977

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 977, 942, 172, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 942, 172, 494 is 1.

Therefore, GCD of numbers 977, 942, 172, 494 is 1

Given Input Data is 977, 942, 172, 494

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

Prime Factorization of 977 is 977

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 494 is 2 x 13 x 19

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(977, 942) = 920334

GCD(977, 942) = ( 977 x 942 ) / 920334

GCD(977, 942) = 920334 / 920334

GCD(977, 942) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

GCD of 977, 942, 172, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 955, 331, 474
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• GCD of 733, 446, 556, 229
• GCD of 172, 415, 548, 804
• GCD of 350, 138, 820, 159

1. What is the GCD of 977, 942, 172, 494?

GCD of 977, 942, 172, 494 is 1

2. Where do I get the detailed procedure to find GCD of 977, 942, 172, 494?

You can find a detailed procedure to find GCD of 977, 942, 172, 494 on our page.

3. How to find GCD of 977, 942, 172, 494 on a calculator?

You can find the GCD of 977, 942, 172, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.