GCD of 148, 740, 715, 546 Calculator

Given Input numbers are 148, 740, 715, 546

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

Divisors of 148

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

1, 2, 4, 37, 74, 148

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 148, 740, 715, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 740, 715, 546 is 1.

Therefore, GCD of numbers 148, 740, 715, 546 is 1

Given Input Data is 148, 740, 715, 546

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

Prime Factorization of 148 is 2 x 2 x 37

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(148, 740) = 740

GCD(148, 740) = ( 148 x 740 ) / 740

GCD(148, 740) = 109520 / 740

GCD(148, 740) = 148

Step2:

Here we consider the GCD from the above i.e. 148 as first number and the next as 715

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

LCM(148, 715) = 105820

GCD(148, 715) = ( 148 x 715 ) / 105820

GCD(148, 715) = 105820 / 105820

GCD(148, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 148, 740, 715, 546 is 1

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1. What is the GCD of 148, 740, 715, 546?

GCD of 148, 740, 715, 546 is 1

2. Where do I get the detailed procedure to find GCD of 148, 740, 715, 546?

You can find a detailed procedure to find GCD of 148, 740, 715, 546 on our page.

3. How to find GCD of 148, 740, 715, 546 on a calculator?

You can find the GCD of 148, 740, 715, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.