GCD of 972, 354, 93, 134 Calculator

Given Input numbers are 972, 354, 93, 134

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 972, 354, 93, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 354, 93, 134 is 1.

Therefore, GCD of numbers 972, 354, 93, 134 is 1

Given Input Data is 972, 354, 93, 134

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 93 is 3 x 31

Prime Factorization of 134 is 2 x 67

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(972, 354) = 57348

GCD(972, 354) = ( 972 x 354 ) / 57348

GCD(972, 354) = 344088 / 57348

GCD(972, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 93

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

LCM(6, 93) = 186

GCD(6, 93) = ( 6 x 93 ) / 186

GCD(6, 93) = 558 / 186

GCD(6, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 134

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

LCM(3, 134) = 402

GCD(3, 134) = ( 3 x 134 ) / 402

GCD(3, 134) = 402 / 402

GCD(3, 134) = 1

GCD of 972, 354, 93, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 613, 68, 493
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1. What is the GCD of 972, 354, 93, 134?

GCD of 972, 354, 93, 134 is 1

2. Where do I get the detailed procedure to find GCD of 972, 354, 93, 134?

You can find a detailed procedure to find GCD of 972, 354, 93, 134 on our page.

3. How to find GCD of 972, 354, 93, 134 on a calculator?

You can find the GCD of 972, 354, 93, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.