GCD of 677, 735, 154 Calculator

Given Input numbers are 677, 735, 154

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 677, 735, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 735, 154 is 1.

Therefore, GCD of numbers 677, 735, 154 is 1

Given Input Data is 677, 735, 154

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

Prime Factorization of 677 is 677

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 154 is 2 x 7 x 11

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(677, 735) = 497595

GCD(677, 735) = ( 677 x 735 ) / 497595

GCD(677, 735) = 497595 / 497595

GCD(677, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 677, 735, 154 is 1

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1. What is the GCD of 677, 735, 154?

GCD of 677, 735, 154 is 1

2. Where do I get the detailed procedure to find GCD of 677, 735, 154?

You can find a detailed procedure to find GCD of 677, 735, 154 on our page.

3. How to find GCD of 677, 735, 154 on a calculator?

You can find the GCD of 677, 735, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.