GCD of 109, 148, 651, 740 Calculator

Given Input numbers are 109, 148, 651, 740

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 109, 148, 651, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 148, 651, 740 is 1.

Therefore, GCD of numbers 109, 148, 651, 740 is 1

Given Input Data is 109, 148, 651, 740

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

Prime Factorization of 109 is 109

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 148) = 16132

GCD(109, 148) = ( 109 x 148 ) / 16132

GCD(109, 148) = 16132 / 16132

GCD(109, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 109, 148, 651, 740 is 1

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1. What is the GCD of 109, 148, 651, 740?

GCD of 109, 148, 651, 740 is 1

2. Where do I get the detailed procedure to find GCD of 109, 148, 651, 740?

You can find a detailed procedure to find GCD of 109, 148, 651, 740 on our page.

3. How to find GCD of 109, 148, 651, 740 on a calculator?

You can find the GCD of 109, 148, 651, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.