GCD of 109, 972, 988, 670 Calculator

Given Input numbers are 109, 972, 988, 670

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 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 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 109, 972, 988, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 972, 988, 670 is 1.

Therefore, GCD of numbers 109, 972, 988, 670 is 1

Given Input Data is 109, 972, 988, 670

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

Prime Factorization of 109 is 109

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 670 is 2 x 5 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(109, 972) = 105948

GCD(109, 972) = ( 109 x 972 ) / 105948

GCD(109, 972) = 105948 / 105948

GCD(109, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 109, 972, 988, 670 is 1

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1. What is the GCD of 109, 972, 988, 670?

GCD of 109, 972, 988, 670 is 1

2. Where do I get the detailed procedure to find GCD of 109, 972, 988, 670?

You can find a detailed procedure to find GCD of 109, 972, 988, 670 on our page.

3. How to find GCD of 109, 972, 988, 670 on a calculator?

You can find the GCD of 109, 972, 988, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.