GCD of 915, 550, 70, 349 Calculator

Given Input numbers are 915, 550, 70, 349

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 915, 550, 70, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 550, 70, 349 is 1.

Therefore, GCD of numbers 915, 550, 70, 349 is 1

Given Input Data is 915, 550, 70, 349

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 349 is 349

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(915, 550) = 100650

GCD(915, 550) = ( 915 x 550 ) / 100650

GCD(915, 550) = 503250 / 100650

GCD(915, 550) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 70

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

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

GCD(5, 70) = 350 / 70

GCD(5, 70) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 349

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

LCM(5, 349) = 1745

GCD(5, 349) = ( 5 x 349 ) / 1745

GCD(5, 349) = 1745 / 1745

GCD(5, 349) = 1

GCD of 915, 550, 70, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 614, 36, 320
• GCD of 752, 222, 85, 790
• GCD of 599, 394, 48, 666
• GCD of 358, 821, 57, 646
• GCD of 860, 581, 31, 335

1. What is the GCD of 915, 550, 70, 349?

GCD of 915, 550, 70, 349 is 1

2. Where do I get the detailed procedure to find GCD of 915, 550, 70, 349?

You can find a detailed procedure to find GCD of 915, 550, 70, 349 on our page.

3. How to find GCD of 915, 550, 70, 349 on a calculator?

You can find the GCD of 915, 550, 70, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.