GCD of 649, 700, 58, 434 Calculator

Given Input numbers are 649, 700, 58, 434

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

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 649, 700, 58, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 700, 58, 434 is 1.

Therefore, GCD of numbers 649, 700, 58, 434 is 1

Given Input Data is 649, 700, 58, 434

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

Prime Factorization of 649 is 11 x 59

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 434 is 2 x 7 x 31

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(649, 700) = 454300

GCD(649, 700) = ( 649 x 700 ) / 454300

GCD(649, 700) = 454300 / 454300

GCD(649, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 649, 700, 58, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 369, 74, 670
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• GCD of 468, 132, 88, 802
• GCD of 394, 517, 84, 981

1. What is the GCD of 649, 700, 58, 434?

GCD of 649, 700, 58, 434 is 1

2. Where do I get the detailed procedure to find GCD of 649, 700, 58, 434?

You can find a detailed procedure to find GCD of 649, 700, 58, 434 on our page.

3. How to find GCD of 649, 700, 58, 434 on a calculator?

You can find the GCD of 649, 700, 58, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.